The problem asks to rewrite the expression $9a^{-4/9}$ using positive exponents.

AlgebraExponentsSimplificationAlgebraic Manipulation
2025/4/15

1. Problem Description

The problem asks to rewrite the expression 9a4/99a^{-4/9} using positive exponents.

2. Solution Steps

We have the expression 9a4/99a^{-4/9}. To express this with positive exponents, we need to move the term with the negative exponent to the denominator. Recall that xn=1xnx^{-n} = \frac{1}{x^n}.
Therefore, we have
9a4/9=9a4/9=91a4/9=9a4/99a^{-4/9} = 9 \cdot a^{-4/9} = 9 \cdot \frac{1}{a^{4/9}} = \frac{9}{a^{4/9}}.

3. Final Answer

The expression 9a4/99a^{-4/9} with positive exponents is 9a4/9\frac{9}{a^{4/9}}.

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