What is ((1.5^3)/(1.3^4))^{-6} ?

The solution to ((1.5^3)/(1.3^4))^{-6} is (5.42801E15)/(1.47789E16)

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simplify ((1.5^3)/(1.3^4))^{-6}

simplify

(\frac{1. 5 ^{3}}{1. 3 ^{4}})^{- 6}

\frac{5.42801 E 15}{1.47789 E 16}

Decimal Notation

0.36728 \dots

Solution steps

(\frac{1. 5 ^{3}}{1. 3 ^{4}})^{- 6}

Apply exponent rule:

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

(\frac{1. 5 ^{3}}{1. 3 ^{4}})^{- 6} = \frac{1}{( \frac{1. 5 ^{3}}{1. 3 ^{4}} ) ^{6}}

= \frac{1}{( \frac{1. 5 ^{3}}{1. 3 ^{4}} ) ^{6}}

(\frac{1. 5 ^{3}}{1. 3 ^{4}})^{6} = \frac{1477.89188 \dots}{542.80077 \dots}

= \frac{1}{\frac{1477.89188 \dots}{542.80077 \dots}}

Apply the fraction rule:

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

= \frac{542.80077 \dots}{1477.89188 \dots}

\frac{542.80077 \dots}{1477.89188 \dots} = \frac{5.42801 E 15}{1.47789 E 16}

= \frac{5.42801 E 15}{1.47789 E 16}

12 (3 \frac{2}{3})

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What is ((1.5^3)/(1.3^4))^{-6} ?
The solution to ((1.5^3)/(1.3^4))^{-6} is (5.42801E15)/(1.47789E16)