What is ((3^{-6})/(7^{-3)})^5 ?

The solution to ((3^{-6})/(7^{-3)})^5 is (7^{15})/(3^{30)}

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simplify ((3^{-6})/(7^{-3)})^5

simplify

(\frac{3 ^{- 6}}{7 ^{- 3}})^{5}

\frac{7 ^{15}}{3 ^{30}}

Solution steps

(\frac{3 ^{- 6}}{7 ^{- 3}})^{5}

Apply exponent rule:

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

= \frac{( 3 ^{- 6} ) ^{5}}{( 7 ^{- 3} ) ^{5}}

(3^{- 6})^{5} = \frac{1}{3 ^{30}}

= \frac{\frac{1}{3 ^{30}}}{( 7 ^{- 3} ) ^{5}}

(7^{- 3})^{5} = \frac{1}{7 ^{15}}

= \frac{\frac{1}{3 ^{30}}}{\frac{1}{7 ^{15}}}

\frac{\frac{1}{3 ^{30}}}{\frac{1}{7 ^{15}}} = \frac{7 ^{15}}{3 ^{30}}

= \frac{7 ^{15}}{3 ^{30}}

2 x^{2} + 68 = 24 x

x^{2} + 10 x + 4 = 0

(\frac{4}{6})^{6}

(x + y + z)^{3} - x^{3} - y^{3} - z^{3}

34.46 + \frac{50}{40}

What is ((3^{-6})/(7^{-3)})^5 ?
The solution to ((3^{-6})/(7^{-3)})^5 is (7^{15})/(3^{30)}