for the math experts again!

what's the question? we solving or simplify?

Answer and Step-by-step explanation:

When multiplying exponents:

- Product of Powers: When the base of the exponents are the same, and the bases are being multiplied to each other, the exponents are added together.

- Different bases Same Exponents: When the bases of the exponents are different, but the exponents are the same, the bases multiply together (within a parenthesis) with the exponent on the parenthesis.

- Quotient of Powers: When the base of the exponents are the same, and they are being divided by each other, the exponents will subtract from each other.

- Power of a Power: When a base has an exponent, and that entire term has and exponent, the exponents multiply together.

- Power of a Product: The opposite of Different bases Same Exponents. Distribute the exponent onto the different bases.

- Power of a Quotient: The opposite of Quotient of Powers. Distribute the exponent to the dividing bases.

- Zero Power: Any number raised to the 0 power equals 1.

- Negative Exponent: Any number raised by a negative number goes to the denominator of a fraction (if not already in the denominator), and vise versa (goes to the numerator if not already in the numerator).  

- Power of One: Any number raised to the power of 1 is the same number.

7.

[tex](-5y^3)^3 = -125y^6[/tex]

8.

[tex](-a^9b)^4 = -a^{13}b^4[/tex]

9.

[tex](\frac{1}{2}x^4 )^7 = \frac{1}{2^7 (=128)} x^{11}[/tex]

10.

[tex]2(3a^2)^3 = 2(27a^5) = 54a^5[/tex]

11.

[tex]\frac{1}{2} (4k^5)^2=\frac{1}{2} (16k^7) = 8k^7[/tex]

12.

[tex]-6(\frac{2}{3}p^8 )^3=-6(\frac{6}{27} p^{11}) = -6(\frac{2}{9}p^{11})=\frac{-12}{9} p^{11}=-\frac{4}{3}p^{11}[/tex]

13.

[tex](m^5n^3)^7 * m^2n = m^{12}n^{10}*m^2n=m^{14}n^{11}[/tex]

14.

[tex](2xy)^2(-3x^2)(4y^2) = (4x^2y^2)(-3x^2)(4y^2) = (-12x^4y^2)(4y^2)=-48x^6y^4[/tex]

15.

[tex](2x^3y^2z^2)^3(x^2z)^4=(8x^6y^5z^5)(x^6z^4)=8x^{12}y^5z^9[/tex]

16.

[tex](-xy)^2(2x^9y^5)^4 = (x^2y^2)(16x^{13}y^9)=16x^{15}y^{11}[/tex]

17.

[tex](-4mn)^3(-2m^2)^3 = (-64m^3n^3)(-8m^5)=512m^8n^3[/tex]

18.

[tex]-3(2x^4)(4x^5y)^2 = (-6x^4)(16x^7y^2)=-96x^{11}y^2[/tex]

19.

[tex](-18m^2n)^2(-\frac{1}{6} mn^2)=(324m^4n^2)(-\frac{1}{6} mn^2)=-54m^5n^4[/tex]

20.

[tex](3r^3s^5)^2-r^6s^{10} = 9r^5s^7-r^6s^{10} = r^5s^7(9-rs^3)[/tex]

21.

[tex](-2x^5y^7)^3+7x^{15}y^{21} = -8x^8y^{10}+7x^{15}y^{21} = x^8y^{10}(7x^7y^{11}-8)[/tex]

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

Step-by-step explanation:

2x=8 and 3y=9

x=8/2 and y=9/3

x=4 and y=3

Answer:

[tex]\frac{25}{15}[/tex] is greater.

Step-by-step explanation:

25÷15=1.67

2÷3=0.67

1.67 is greater than 0.67, so [tex]\frac{25}{15}[/tex] is greater.

Also,  [tex]\frac{25}{15}[/tex] is an improper fraction, and  [tex]\frac{2}{3}[/tex] is a proper fraction. Improper fraction mast be greater than a proper fraction.

Answer:

50%

Step-by-step explanation:

35/70 is .5 as a fracion. multiple .5 by 100 to get your percentage.

Answer:

50%

Step-by-step explanation:

Step 1: 15 + 30 + 5 + 20 = 70

Step 2: 15 + 20 = 35

35/70

Step 3: 35 ÷ 70 = 0.5

Step 4: 0.5 x 100 = 50

50%

Answer:

4 + (-3-8)

4 + (-11)

4 (+ × -) 11

4 - 11

- 7

Therefore the answer is -7

Answer:

4 + (-3-8)

4 + (-11)

4 (+ × -) 11

4 - 11

- 7

Therefore the answer is -7

Answer:

Step-by-step explanation:

2^6  = 64 and the only power of 64 that gives us 1 is 64^0 = 1. S0 x = 1.

Now 5^0 is already 1. Then (5^0)^x =1^x is equal to 1 for any value of x.

Answer: First Choice. 5ft

Step-by-step explanation:

Here we need to know the idea of the Pythagorean theorem.

Since a building is straight, the base angle is a right angle, thus it would be a right triangle.

Pythagorean Theorem: a² + b² = c²

**NOTE** Please refer to the attachment below for the figure. (I drew it, so if it was not clear and understandable for you, please tell me.)

Solve:

Given information

a = 12 ft

c = 13 ft

b = unknow base length

Given formula for Pythagorean Theorem

a² + b² = c²

Substitute values into the formula

12² + b² = 13²

Simplify exponents

144 + b² = 169

Subtract 144 on both sides

144 + b² - 144= 169 - 144

b² = 25

Square root both sides

√b² = √25

[tex]\boxed{b=5}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Step-by-step explanation:

J(-3,9)

k(-10,9)

L(-10,4)

M(-3,4)

Answer:

x + x^2 = yx

not really sure if you are looking for this so comment if this is what you wanted

Answer:

S=(2,-2) ...............

The polynomial in standard form is as follows;

8x⁵  - 5y⁴ - 2xy⁵ + x²y

A polynomial can have constants, variables and exponents, but never division by a variable. example of a polynomial is as follows:

4xy² + 2y + 5

Polynomial can be named base on the number of terms. For example monomial, binomial and trinomial.

The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on.

Therefore, the polynomial in standard form is as follows;

8x⁵  - 5y⁴ - 2xy⁵ + x²y

learn more on polynomial here: https://brainly.com/question/27205112

#SPJ1

Answer: its b

8xy5 -5y4 -2xy5 +x2y

Step-by-step explanation:

I got it right on edge

Step-by-step explanation:

by using the pythagoras theorem,

the height of the ladder touching the wall =

√(20²- 4²)

=√ (400-16)

=√384

= 8√6 feet

or 19.6 feet

Using Pythagorean theorem

[tex]\\ \rm\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \rm\longmapsto P^2=20^2-4^2[/tex]

[tex]\\ \rm\longmapsto P^2=400-16[/tex]

[tex]\\ \rm\longmapsto P^2=384[/tex]

[tex]\\ \rm\longmapsto P=\sqrt{84}[/tex]

[tex]\\ \rm\longmapsto P=19.6ft[/tex]

Answer:

hi you said u can answer my qweshion

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Given: 20 yards of ribbon in total. Need to make 2 yards each.

To find out how many yards you need to cut, divide:

20 / 2 = 10

So, you need to make 10 cuts for the 20 yards.

Hope this helped.

Answer:

Geoff is 16.77 m far from base of tower.

Step-by-step explanation:

steps are in the picture below.

3(2x - 1) + 2(x + 5) = 47

6x - 3 + 2x + 10 = 47

6x + 2x = 47 + 3 - 10

8x = 40 / : 8

x = 5 ← the end

Answer:

x = 5

Step-by-step explanation:

[tex]3(2x - 1) + 2(x + 5) = 47[/tex]

[tex]6x - 3 + 2(x + 5) = 47[/tex]

[tex]6x - 3 + 2x + 10 = 47[/tex]

[tex]8x - 3 + 10 = 47[/tex]

[tex]8x + 7 = 47[/tex]

[tex]8x = 47 - 7[/tex]

[tex]8x = 40[/tex]

[tex](8x \div 8 = 40 \div 8 = x = 40 \div 8 )[/tex]

[tex]x = 5[/tex]

Answer:

4

Step-by-step explanation:

√x + 3=25/5

√x+3=5

√x=5-3

√x=2

x=4

Answer:

A

Step-by-step explanation:

edge 2021

Answer:

It is A

Step-by-step explanation:

I got it right on the test Edge 2022.

Answer:

system of function:

f(x)=.5x+6

f(x)=x^2; x > 2

Step-by-step explanation:

there's a screenshot attached. Explanation: I'm using desmos and just type the functions like what the screenshot did to graph the piecewise function made by two functions

Answer:

Step-by-step explanation:

We can observe the numbers 72, 78, 84, 90 form an arithmetic sequence with common difference of 6.

It can be continued by adding 6 to the last number:

72,78,84,90..are in AP

[tex]\\ \rm\longmapsto a_5=72+4(6)=72+24=96[/tex]

[tex]\\ \rm\longmapsto a_6=72+5(6)=72+30=102[/tex]

Answer:

equal measures:

lJP and NJR

MJP and PJR

Unequal measures:

KJL and LJM

KJR and MJP

MJK and PJR

Step-by-step explanation:

Answer:

Step-by-step explanation:

Determine whether each of the following pairs of angles have equal measures. Drag and drop each pair of angles into the correct catagory to show which pairs have equal measures.

Step-by-step explanation:

Solution,

Given:-a=b

Now,

Then,

Again,

At last,

Stay safe, stay happy

Answer:

you subtract from the  x

Step-by-step explanation:

Answer:

965.31sq.km

Step-by-step explanation:

Area of the triangle = 1/2 xy sina

a=52° , x=49 , y=50

area of triangle= 1/2 * 49 *50 *sin52°

area= 965.31 sq.km

Answer:

Sqrt(-108)=6i*sqrt(3)

Step-by-step explanation:

-108=3*6*6*(-1). Sqrt(-108)=6i*sqrt(3) where i is iota

Answer:

37 degees

Step-by-step explanation:

..........m.........

Answer:

x=37

Step-by-step explanation:

here,

143+x=180

x=180-143

x=37

Answer:

the point is (1.73, 3)

Step-by-step explanation:

Given a vector on an xy plot, the magnitude is the hypotinuse of the triangle formed, and the direction is the angle with x axis. So we have a right angle triangle that must be a 30-60-90 (sum = 180).

Then from the lower angle

sin(60) = opposite/hypotinuse = y/(2*3**(1/2))

0.866 = y/(2*1.732)

0.866 = y/3.464

0.866 * 3.464 = y

3 = y

Then from the top angle

sin(30) = opposite/hypotinuse = x/(2*3**(1/2))

sin(30) = x/(2*3**(1/2))

0.5 = x/(2*3**(1/2))

0.5 = x/3.464

0.5 * 3.464 = x

1.73 = x