I need help my teacher's note didn't help at all please

The value of n which makes the exponential value equation true is n = 10

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be A

Now , the value of A is

A = ( 2x⁹yⁿ ) ( 4x²y¹⁰ ) = 8x¹¹y²⁰

So , from the laws of exponents , we get

mᵃ×mᵇ = mᵃ⁺ᵇ

( 2x⁹yⁿ ) ( 4x²y¹⁰ ) = 8x⁹⁺²yⁿ⁺¹⁰

( 2x⁹yⁿ ) ( 4x²y¹⁰ ) = 8x¹¹yⁿ⁺¹⁰

And , the value of A is = 8x¹¹y²⁰

So , on simplifying , we get

8x¹¹y²⁰ = 8x¹¹yⁿ⁺¹⁰

y²⁰ = yⁿ⁺¹⁰

Since the bases are same , the powers are also same

20 = n + 10

Subtracting 10 on both sides , we get

n = 10

Hence , the exponential equation is solved and n = 10

To learn more about exponents click :

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Answer:

02

Step-by-step explanation:

30is the beginning answer

Answer:

constant

Step-by-step explanation:

Since this is a horizontal line the slope is zero

This means the graph is constant

Answer:

constant because it isn't going up or down, just moving straight

Step-by-step explanation:

Answer: y= mx + b to find slope of m.

Step-by-step explanation:

so y= mx + b

so, m = 2/3

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thank you have a ice day/night

~Evelyn