What is simplify-20(-1.3)^{-5}(0.1) ?

The solution to simplify-20(-1.3)^{-5}(0.1) is 0.53865…

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simplify-20(-1.3)^{-5}(0.1)

simplify

- 20 (- 1.3)^{- 5} (0.1)

0.53865 \dots

Solution steps

- 20 (- 1.3)^{- 5} (0.1)

Apply exponent rule:

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

= - 20 \cdot 0.1 \cdot \frac{1}{( - 1.3 ) ^{5}}

\frac{1}{( - 1.3 ) ^{5}} = - \frac{1}{1. 3 ^{5}}

= - 20 \cdot 0.1 (- \frac{1}{1. 3 ^{5}})

Apply rule

- (- a) = a

= 20 \cdot \frac{1}{1. 3 ^{5}} \cdot 0.1

Multiply fractions:

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

= 0.1 \cdot \frac{1 \cdot 20}{1. 3 ^{5}}

\frac{1 \cdot 20}{1. 3 ^{5}} = 5.38658 \dots

= 0.1 \cdot 5.38658 \dots

Multiply the numbers:

0.1 \cdot 5.38658 \dots = 0.53865 \dots

= 0.53865 \dots

3.57 \cdot 1 0^{- 3}

0.023 \cdot 1 0^{- 1}

6.485 \cdot 1 0^{- 2} \cdot 2.3

2 x e^{x^{2}} \cdot x

(2 y) (3 y^{2}) (5 y^{4})

What is simplify-20(-1.3)^{-5}(0.1) ?
The solution to simplify-20(-1.3)^{-5}(0.1) is 0.53865…