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Popular >

simplify (6/35)^{-6}

Solution

simplify

(\frac{6}{35})^{- 6}

Solution

\frac{3 5 ^{6}}{46656}

+1

Decimal Notation

39400.41205 \dots

Solution steps

(\frac{6}{35})^{- 6}

Apply exponent rule:

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

(\frac{6}{35})^{- 6} = \frac{1}{( \frac{6}{35} ) ^{6}}

= \frac{1}{( \frac{6}{35} ) ^{6}}

(\frac{6}{35})^{6} = \frac{46656}{3 5 ^{6}}

= \frac{1}{\frac{46656}{3 5 ^{6}}}

Apply the fraction rule:

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

= \frac{3 5 ^{6}}{46656}

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Frequently Asked Questions (FAQ)

What is (6/35)^{-6} ?
The solution to (6/35)^{-6} is (35^6)/(46656)