Question

Drag expressions to show the steps to create an equivalent expression using only positive exponents. Let g and h be two nonzero numbers. g^-3h

Answer 1

Equivalent expressions are expressions that have the same value.

The equivalent expression of $g^{-3}h$ is: $\frac{h}{g^3}$

The expression is given as;

$g^{-3}h$

Apply law of indices to change the exponents

$g^{-3}h = \frac{1}{g^3}h$

Express as products

$g^{-3}h = \frac{1}{g^3} \times h$

Rewrite as

$g^{-3}h = \frac{h}{g^3}$

Hence, the equivalent expression is: $\frac{h}{g^3}$

Read more about equivalent expressions at:

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