What is (((3/5)^4)^{-2})^3 ?

The solution to (((3/5)^4)^{-2})^3 is (5^{24})/(3^{24)}

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

simplify

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

\frac{5 ^{24}}{3 ^{24}}

Decimal Notation

211042.53300 \dots

Solution steps

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

((\frac{3}{5})^{4})^{- 2} : (\frac{3}{5})^{- 8}

= ((\frac{3}{5})^{- 8})^{3}

Apply exponent rule:

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

= (\frac{3}{5})^{(- 8) \cdot 3}

(- 8) \cdot 3 = - 24

= (\frac{3}{5})^{- 24}

Apply exponent rule:

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

= \frac{1}{( \frac{3}{5} ) ^{24}}

Apply exponent rule:

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

(\frac{3}{5})^{24} = \frac{3 ^{24}}{5 ^{24}}

= \frac{1}{\frac{3 ^{24}}{5 ^{24}}}

Apply the fraction rule:

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

= \frac{5 ^{24}}{3 ^{24}}

(x^{4} y^{5}) (5 x^{8} y^{3} z^{5})

(9 a x^{2} y^{3} z) (3 b x^{3} y^{5} z^{2})

4500 e^{- 0.15 (4)}

0.05 \cdot 1 0^{- 6}

\frac{y ^{\frac{1}{2}}}{x ^{\frac{1}{2}}}

What is (((3/5)^4)^{-2})^3 ?
The solution to (((3/5)^4)^{-2})^3 is (5^{24})/(3^{24)}