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Rewrite the expression in the form
a^(n).

(a^((2)/(3)))^(-1)=◻

Rewrite the expression in the form $a^{n}$ . $\newline$ $\left(a^{\frac{2}{3}}\right)^{-1}=\square$

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Evaluate exponential functions

Full solution

Q. Rewrite the expression in the form

a^{n}

.

\newline

\left(a^{\frac{2}{3}}\right)^{-1}=\square

Apply power of a power rule: To simplify the expression $(a^{\frac{2}{3}})^{-1}$ , we need to apply the power of a power rule, which states that $(a^m)^n = a^{m*n}$ . Here, $m = \frac{2}{3}$ and $n = -1$ .
Multiply the exponents: Using the power of a power rule, we multiply the exponents: $(\frac{2}{3}) \times (-1) = -\frac{2}{3}$ .
Rewrite the expression: Now we rewrite the expression with the new exponent: $a^{(-2/3)}$ .
Check for errors: We check for any mathematical errors in the previous steps. The rules and calculations have been applied correctly.

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