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Popular >

simplify (8^{-2}*9^{3/2})/(2^{-7)}

Solution

simplify

\frac{8 ^{- 2} \cdot 9 ^{\frac{3}{2}}}{2 ^{- 7}}

Solution

54

Solution steps

\frac{8 ^{- 2} \cdot 9 ^{\frac{3}{2}}}{2 ^{- 7}}

Factor

8^{- 2} : 2^{- 6}

= \frac{2 ^{- 6} \cdot 9 ^{\frac{3}{2}}}{2 ^{- 7}}

\frac{2 ^{- 6}}{2 ^{- 7}} = 2

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

2 \cdot 9^{\frac{3}{2}} = 54

= 54

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Frequently Asked Questions (FAQ)

What is (8^{-2}*9^{3/2})/(2^{-7)} ?
The solution to (8^{-2}*9^{3/2})/(2^{-7)} is 54