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Popular >

simplify (9^{7/4})/(9^{9/4)}

Solution

simplify

\frac{9 ^{\frac{7}{4}}}{9 ^{\frac{9}{4}}}

Solution

\frac{1}{3}

+1

Decimal Notation

0.33333 \dots

Solution steps

\frac{9 ^{\frac{7}{4}}}{9 ^{\frac{9}{4}}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

= 9^{\frac{7}{4} - \frac{9}{4}}

Combine the fractions

\frac{7}{4} - \frac{9}{4} : - \frac{1}{2}

= 9^{- \frac{1}{2}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{9 ^{\frac{1}{2}}}

9^{\frac{1}{2}} = 3

= \frac{1}{3}

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Frequently Asked Questions (FAQ)

What is (9^{7/4})/(9^{9/4)} ?
The solution to (9^{7/4})/(9^{9/4)} is 1/3