What is 20*2.7^{-0.8*2.5} ?

The solution to 20*2.7^{-0.8*2.5} is 2.74348…

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simplify 202.7^{-0.82.5}

simplify

20 \cdot 2. 7^{- 0.8 \cdot 2.5}

2.74348 \dots

Solution steps

20 \cdot 2. 7^{- 0.8 \cdot 2.5}

Apply exponent rule:

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

= 20 \cdot \frac{1}{2. 7 ^{0.8 \cdot 2.5}}

Multiply the numbers:

0.8 \cdot 2.5 = 2

= 20 \cdot \frac{1}{2. 7 ^{2}}

Multiply fractions:

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

= \frac{1 \cdot 20}{2. 7 ^{2}}

Multiply the numbers:

1 \cdot 20 = 20

= \frac{20}{2. 7 ^{2}}

2. 7^{2} = 7.29

= \frac{20}{7.29}

Divide the numbers:

\frac{20}{7.29} = 2.74348 \dots

= 2.74348 \dots

(2 x - 2)^{- 3}

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