What is (5^7*3^{-4})^{-2} ?

The solution to (5^7*3^{-4})^{-2} is (6561)/(5^{14)}

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simplify (5^7*3^{-4})^{-2}

simplify

(5^{7} \cdot 3^{- 4})^{- 2}

\frac{6561}{5 ^{14}}

Decimal Notation

1.07495 E - 6

Solution steps

(5^{7} \cdot 3^{- 4})^{- 2}

Apply exponent rule:

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

(5^{7} \cdot 3^{- 4})^{- 2} = \frac{1}{( 5 ^{7} \cdot 3 ^{- 4} ) ^{2}}

= \frac{1}{( 5 ^{7} \cdot 3 ^{- 4} ) ^{2}}

(5^{7} \cdot 3^{- 4})^{2} = \frac{5 ^{14}}{6561}

= \frac{1}{\frac{5 ^{14}}{6561}}

Apply the fraction rule:

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

= \frac{6561}{5 ^{14}}

(4 w^{2} + 17) - (w^{2} + 5 w - 4)

(x^{2} + 2) (m - n) + 2 (m - n)

x^{5} + 2 x^{3} + x^{2} + 2

\frac{21}{98}

\frac{3}{1} + \frac{1}{2}

What is (5^7*3^{-4})^{-2} ?
The solution to (5^7*3^{-4})^{-2} is (6561)/(5^{14)}