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Popular >

simplify 2^50.6^{-5}

Solution

simplify

2^{5} 0. 6^{- 5}

Solution

411.52263 \dots

Solution steps

2^{5} \cdot 0. 6^{- 5}

Apply exponent rule:

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

= 2^{5} \cdot \frac{1}{0. 6 ^{5}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 2 ^{5}}{0. 6 ^{5}}

Multiply:

1 \cdot 2^{5} = 2^{5}

= \frac{2 ^{5}}{0. 6 ^{5}}

2^{5} = 32

= \frac{32}{0. 6 ^{5}}

0. 6^{5} = 0.07776

= \frac{32}{0.07776}

Divide the numbers:

\frac{32}{0.07776} = 411.52263 \dots

= 411.52263 \dots

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Frequently Asked Questions (FAQ)

What is 2^50.6^{-5} ?
The solution to 2^50.6^{-5} is 411.52263…