Match each expression with it's simplified form.

Question

(y⁸)/(y^-2)

(4⁸)/4

(4⁵)/(4²)

(Y³)/(y⁷)

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Match the top math problem with the bottom math equation. The top math problem is the problem to solve and the bottom is the each on of the answers.

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4³

Y⁴

y^-4

Y¹⁰

4⁸

4⁷

Answer 1

The rules of exponents are:

Rule 1: x^a * x^b = x^a+b

Rule 2: x^a/x^b = x^a-b

So let's try the first one:

y⁸/y^-2

Since it's a division, use rule 2:

y⁸/y^-2 = y^8-(-2) = y⁸⁺² = y¹⁰

See if you can do the rest. For the second one, remember that 4 = 4¹.