What is 60*2^{-0.02*545} ?

The solution to 60*2^{-0.02*545} is (60)/(2^{10.9)}

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simplify 602^{-0.02545}

simplify

60 \cdot 2^{- 0.02 \cdot 545}

\frac{60}{2 ^{10.9}}

Decimal Notation

0.03139 \dots

Solution steps

60 \cdot 2^{- 0.02 \cdot 545}

Apply exponent rule:

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

2^{- 0.02 \cdot 545} = \frac{1}{2 ^{0.02 \cdot 545}}

= 60 \cdot \frac{1}{2 ^{0.02 \cdot 545}}

Multiply the numbers:

0.02 \cdot 545 = 10.9

= 60 \cdot \frac{1}{2 ^{10.9}}

60 \cdot \frac{1}{2 ^{10.9}} = \frac{60}{2 ^{10.9}}

= \frac{60}{2 ^{10.9}}

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