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Popular >

simplify 8(1.25)^{-(2.5)}

Solution

simplify

8 (1.25)^{- (2.5)}

Solution

\frac{8}{1.2 5 ^{2.5}}

+1

Decimal Notation

4.57946 \dots

Solution steps

8 \cdot 1.2 5^{- (2.5)}

Apply rule:

- (a) = - a

- (2.5) = - 2.5

= 8 \cdot 1.2 5^{- 2.5}

Apply exponent rule:

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

1.2 5^{- 2.5} = \frac{1}{1.2 5 ^{2.5}}

= 8 \cdot \frac{1}{1.2 5 ^{2.5}}

8 \cdot \frac{1}{1.2 5 ^{2.5}} = \frac{8}{1.2 5 ^{2.5}}

= \frac{8}{1.2 5 ^{2.5}}

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Frequently Asked Questions (FAQ)

What is 8(1.25)^{-(2.5)} ?
The solution to 8(1.25)^{-(2.5)} is 8/(1.25^{2.5)}