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Popular >

simplify 5(0.9)^{-5}

Solution

simplify

5 (0.9)^{- 5}

Solution

8.46754 \dots

Solution steps

5 (0.9)^{- 5}

Apply exponent rule:

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

= 5 \cdot \frac{1}{0. 9 ^{5}}

Multiply fractions:

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

= \frac{1 \cdot 5}{0. 9 ^{5}}

Multiply the numbers:

1 \cdot 5 = 5

= \frac{5}{0. 9 ^{5}}

0. 9^{5} = 0.59049

= \frac{5}{0.59049}

Divide the numbers:

\frac{5}{0.59049} = 8.46754 \dots

= 8.46754 \dots

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Frequently Asked Questions (FAQ)

What is 5(0.9)^{-5} ?
The solution to 5(0.9)^{-5} is 8.46754…