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Popular >

simplify 9^40.9^{-6}

Solution

simplify

9^{4} 0. 9^{- 6}

Solution

12345.67901 \dots

Solution steps

9^{4} \cdot 0. 9^{- 6}

Apply exponent rule:

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

= 9^{4} \cdot \frac{1}{0. 9 ^{6}}

Multiply fractions:

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

= \frac{1 \cdot 9 ^{4}}{0. 9 ^{6}}

Multiply:

1 \cdot 9^{4} = 9^{4}

= \frac{9 ^{4}}{0. 9 ^{6}}

9^{4} = 6561

= \frac{6561}{0. 9 ^{6}}

0. 9^{6} = 0.531441

= \frac{6561}{0.531441}

Divide the numbers:

\frac{6561}{0.531441} = 12345.67901 \dots

= 12345.67901 \dots

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Frequently Asked Questions (FAQ)

What is 9^40.9^{-6} ?
The solution to 9^40.9^{-6} is 12345.67901…