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14. simplify the expression. \\frac{x^{5}}{x^{-2}} type a response

Question

  1. simplify the expression.

\frac{x^{5}}{x^{-2}}
type a response

Explanation:

Step1: Apply exponent division rule

When dividing like bases, subtract exponents: $x^{a} \div x^{b} = x^{a-b}$
$\frac{x^5}{x^{-2}} = x^{5 - (-2)}$

Step2: Simplify the exponent

Calculate the new exponent value.
$x^{5 + 2} = x^7$

Answer:

$x^7$