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Popular >

simplify (9.1^9)^20.91^{-6}

Solution

simplify

(9. 1^{9})^{2} 0.9 1^{- 6}

Solution

3.22475 E 17

Solution steps

(9. 1^{9})^{2} \cdot 0.9 1^{- 6}

(9. 1^{9})^{2} : 9. 1^{18}

= 9. 1^{18} \cdot 0.9 1^{- 6}

Apply exponent rule:

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

= 9. 1^{18} \cdot \frac{1}{0.9 1 ^{6}}

Multiply fractions:

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

= \frac{1 \cdot 9. 1 ^{18}}{0.9 1 ^{6}}

Multiply:

1 \cdot 9. 1^{18} = 9. 1^{18}

= \frac{9. 1 ^{18}}{0.9 1 ^{6}}

0.9 1^{6} = 0.56786 \dots

= \frac{9. 1 ^{18}}{0.56786 \dots}

9. 1^{18} = 1.83124 E 17

= \frac{1.83124 E 17}{0.56786 \dots}

Divide the numbers:

\frac{1.83124 E 17}{0.56786 \dots} = 3.22475 E 17

= 3.22475 E 17

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Frequently Asked Questions (FAQ)

What is (9.1^9)^20.91^{-6} ?
The solution to (9.1^9)^20.91^{-6} is 3.22475E17