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Popular >

simplify 9(1.05)^{-10}

Solution

simplify

9 (1.05)^{- 10}

Solution

5.52521 \dots

Solution steps

9 (1.05)^{- 10}

Apply exponent rule:

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

= 9 \cdot \frac{1}{1.0 5 ^{10}}

Multiply fractions:

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

= \frac{1 \cdot 9}{1.0 5 ^{10}}

Multiply the numbers:

1 \cdot 9 = 9

= \frac{9}{1.0 5 ^{10}}

1.0 5^{10} = 1.62889 \dots

= \frac{9}{1.62889 \dots}

Divide the numbers:

\frac{9}{1.62889 \dots} = 5.52521 \dots

= 5.52521 \dots

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Frequently Asked Questions (FAQ)

What is 9(1.05)^{-10} ?
The solution to 9(1.05)^{-10} is 5.52521…