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Popular >

simplify (125/64)^{-2/3}

Solution

simplify

(\frac{125}{64})^{- \frac{2}{3}}

Solution

\frac{16}{25}

+1

Decimal Notation

0.64

Solution steps

(\frac{125}{64})^{- \frac{2}{3}}

Apply exponent rule:

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

(\frac{125}{64})^{- \frac{2}{3}} = \frac{1}{( \frac{125}{64} ) ^{\frac{2}{3}}}

= \frac{1}{( \frac{125}{64} ) ^{\frac{2}{3}}}

(\frac{125}{64})^{\frac{2}{3}} = \frac{25}{16}

= \frac{1}{\frac{25}{16}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{16}{25}

Popular Examples

factor x^3+x^2+3x+3 factor

x^{3} + x^{2} + 3 x + 3

factor 36r^3+30r^2-30r-25 factor

36 r^{3} + 30 r^{2} - 30 r - 25

2 x < - 3 x + 15

x + 2 < 3 x + 1 \leq 21

simplify 0-(-5)simplify

0 - (- 5)

Frequently Asked Questions (FAQ)

What is (125/64)^{-2/3} ?
The solution to (125/64)^{-2/3} is 16/25