What is 4pi*10^{-0.61702343} ?

The solution to 4pi*10^{-0.61702343} is 3.03519…

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simplify 4pi*10^{-0.61702343}

simplify

4 π \cdot 1 0^{- 0.61702343}

3.03519 \dots

Solution steps

4 π 1 0^{- 0.61702343}

Apply exponent rule:

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

= 4 π \frac{1}{1 0 ^{0.61702343}}

Multiply fractions:

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

= \frac{1 \cdot 4 π}{1 0 ^{0.61702343}}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4 π}{1 0 ^{0.61702343}}

Factor

4 : 2^{2}

Factor

1 0^{0.61702343} : 2^{0.61702343} \cdot 5^{0.61702343}

= \frac{2 ^{2} π}{2 ^{0.61702343} \cdot 5 ^{0.61702343}}

Cancel

\frac{2 ^{2} π}{2 ^{0.61702343} \cdot 5 ^{0.61702343}} : \frac{2 ^{1.38297657} π}{5 ^{0.61702343}}

= \frac{2 ^{1.38297657} π}{5 ^{0.61702343}}

5^{0.61702343} = 2.69948 \dots

= \frac{2 ^{1.38297657} π}{2.69948 \dots}

2^{1.38297657} = 2.60805 \dots

= \frac{2.60805 \dots π}{2.69948 \dots}

Multiply the numbers:

2.60805 \dots \cdot 3.14159 \dots = 8.19345 \dots

= \frac{8.19345 \dots}{2.69948 \dots}

Divide the numbers:

\frac{8.19345 \dots}{2.69948 \dots} = 3.03519 \dots

= 3.03519 \dots

1.26 \cdot 1 0^{- 6}

\frac{x ^{5}}{y ^{5}}

100 \cdot 1 0^{- 6} \cdot 4 \cdot (3.3 - 0.6 - \frac{0.12}{2}) 0.12

2^{\frac{1}{3}} a^{\frac{2}{3}} b^{\frac{1}{3}}