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Popular >

simplify (4/3)^{-2}(1/5)^3

Solution

simplify

(\frac{4}{3})^{- 2} (\frac{1}{5})^{3}

Solution

\frac{9}{2000}

+1

Decimal Notation

0.0045

Solution steps

(\frac{4}{3})^{- 2} (\frac{1}{5})^{3}

(\frac{4}{3})^{- 2} = \frac{9}{16}

= \frac{9}{16} (\frac{1}{5})^{3}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{1}{5})^{3} = \frac{1 ^{3}}{5 ^{3}}

= \frac{9}{16} \cdot \frac{1 ^{3}}{5 ^{3}}

1^{3} = 1

= \frac{9}{16} \cdot \frac{1}{5 ^{3}}

5^{3} = 125

= \frac{9}{16} \cdot \frac{1}{125}

\frac{9}{16} \cdot \frac{1}{125} = \frac{9}{2000}

= \frac{9}{2000}

Popular Examples

(x^2)/(12)-x/4 = 1/3

\frac{x ^{2}}{12} - \frac{x}{4} = \frac{1}{3}

50 = - 5 x^{2} + 200

simplify ((2a^2)/(8a^{-2)})^{-1/2}simplify

(\frac{2 a ^{2}}{8 a ^{- 2}})^{- \frac{1}{2}}

factor q^3+a^3 factor

q^{3} + a^{3}

- 3 x^{2} > 2 x - 1

Frequently Asked Questions (FAQ)

What is (4/3)^{-2}(1/5)^3 ?
The solution to (4/3)^{-2}(1/5)^3 is 9/2000