Question

Select the equivalent expression.

Answer 1

Answer:

C. 3¹² • y¹⁰

Explanation:

(3⁶ / y⁻⁵) ² = (3⁶) ² / (y⁻⁵) ² =

3^(6 • 2) / y^(-5 • 2) =

3¹² / y⁻¹⁰.

Using the principle of a⁻ⁿ = 1 / aⁿ.

1 / a⁻ⁿ = 1 / 1 / aⁿ = aⁿ.

Thus 3¹² / y⁻¹⁰ = 3¹² • y¹⁰.

Answer 2

Answer: C. 3¹² · y¹⁰

Concept:

When multiplying exponents, add the exponents together.

When dividing exponents, subtract the exponents.

When exponents are applied to exponents, multiply the exponents together.

Step-by-step explanation:

Given expression

(3⁶ / y⁻⁵)²

Expand parentheses

3⁶ˣ² / y⁽⁻⁵⁾ˣ²

SImplify by multiplication of exponents

3₁₂ / y⁻¹⁰

Convert the negative exponents to positive

$\boxed{3^{12}*y^{10}}$

Hope this helps!! :)

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