Question

question 13
simplify the given expression. write the answer with positive exponents only.
$(x^{-2}y)^2 = $
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question 14
evaluate the following.
$(-3)^2 = $
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Explanation:

Step1: Apply power of a product rule

$(x^{-2}y)^2 = (x^{-2})^2 \cdot y^2$

Step2: Apply power of a power rule

$(x^{-2})^2 \cdot y^2 = x^{-4}y^2$

Step3: Convert to positive exponents

$x^{-4}y^2 = \frac{y^2}{x^4}$

Step4: Evaluate squared negative number

$(-3)^2 = (-3) \times (-3)$

Step5: Calculate the product

$(-3) \times (-3) = 9$

Answer:

1. $\frac{y^2}{x^4}$
2. $9$