What is (1/3)^{-6pi} ?

The solution to (1/3)^{-6pi} is 729^pi

Popular >

simplify (1/3)^{-6pi}

simplify

(\frac{1}{3})^{- 6 π}

72 9^{π}

Solution steps

(\frac{1}{3})^{- 6 π}

Apply exponent rule:

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

= \frac{1}{( \frac{1}{3} ) ^{6 π}}

(\frac{1}{3})^{6 π} = \frac{1}{3 ^{6 π}}

= \frac{1}{\frac{1}{3 ^{6 π}}}

Apply the fraction rule:

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

= \frac{3 ^{6 π}}{1}

Apply rule

\frac{a}{1} = a

= 3^{6 π}

Apply exponent rule:

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

3^{6 π} = (3^{6})^{π}

= (3^{6})^{π}

3^{6} = 729

= 72 9^{π}

(3.1 \cdot 1 0^{- 11}) 1 0^{\frac{36}{10}}

22.68 \cdot e^{- 0.0183} \cdot 9.9

- 100 \cdot 1 0^{3} \cdot 20 \cdot 1 0^{- 9} ln (\frac{10 - 5}{10 + 5})

(3.05 \cdot 1 0^{- 1}) (3 \cdot 1 0^{4})

2 π (100) (10 \cdot 1 0^{- 3})