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erastova [34]
3 years ago
7

How do you write out (x^3) (x^-2) into an equivalent expression

Mathematics
1 answer:
frozen [14]3 years ago
5 0

\text{The equivalent expression of } (x^3)(x^{-2}) \text{ is } x

<em><u>Solution:</u></em>

<em><u>Given that,</u></em>

<em><u>Given expression is:</u></em>

(x^3)(x^{-2})

We have to write the equivalent expression

<em><u>Use the following law of exponent</u></em>

a^m \times a^n = a^{m+n}

Therefore,

(x^3)(x^{-2})

Here the base is same and exponents are 3 and -2

<em><u>Thus we get a equivalent expression as:</u></em>

x^3 \times x^{-2} = x^{3-2}\\\\x^3 \times x^{-2} = x^1\\\\x^3 \times x^{-2} = x

Thus the equivalent expression is x

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