What is 2.05*666.6^{-0.18} ?

The solution to 2.05*666.6^{-0.18} is (41)/(20*666.6^{0.18)}

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simplify 2.05*666.6^{-0.18}

simplify

2.05 \cdot 666. 6^{- 0.18}

\frac{41}{20 \cdot 666. 6 ^{0.18}}

Decimal Notation

0.63600 \dots

Solution steps

2.05 \cdot 666. 6^{- 0.18}

Apply exponent rule:

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

666. 6^{- 0.18} = \frac{1}{666. 6 ^{0.18}}

= 2.05 \cdot \frac{1}{666. 6 ^{0.18}}

2.05 \cdot \frac{1}{666. 6 ^{0.18}} = \frac{2.05}{666. 6 ^{0.18}}

= \frac{2.05}{666. 6 ^{0.18}}

\frac{2.05}{666. 6 ^{0.18}} = \frac{205}{100 \cdot 666. 6 ^{0.18}}

= \frac{205}{100 \cdot 666. 6 ^{0.18}}

Factor the number:

205 = 5 \cdot 41

= \frac{5 \cdot 41}{100 \cdot 666. 6 ^{0.18}}

Factor the number:

100 = 5 \cdot 20

= \frac{5 \cdot 41}{5 \cdot 20 \cdot 666. 6 ^{0.18}}

Cancel the common factor:

5

= \frac{41}{20 \cdot 666. 6 ^{0.18}}

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What is 2.05*666.6^{-0.18} ?
The solution to 2.05*666.6^{-0.18} is (41)/(20*666.6^{0.18)}