What is (3*10^8)/(4*13.2*10^{-3)}*10^{-9} ?

The solution to (3*10^8)/(4*13.2*10^{-3)}*10^{-9} is 5.68181…

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simplify (310^8)/(413.210^{-3)}10^{-9}

simplify

\frac{3 \cdot 1 0 ^{8}}{4 \cdot 13.2 \cdot 1 0 ^{- 3}} \cdot 1 0^{- 9}

5.68181 \dots

Solution steps

\frac{3 \cdot 1 0 ^{8}}{4 \cdot 13.2 \cdot 1 0 ^{- 3}} \cdot 1 0^{- 9}

Apply exponent rule:

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

= \frac{1}{1 0 ^{9}} \cdot \frac{1 0 ^{8} \cdot 3}{1 0 ^{- 3} \cdot 4 \cdot 13.2}

\frac{3 \cdot 1 0 ^{8}}{4 \cdot 13.2 \cdot 1 0 ^{- 3}} = \frac{1 0 ^{11} \cdot 3}{52.8}

= \frac{1}{1 0 ^{9}} \cdot \frac{1 0 ^{11} \cdot 3}{52.8}

Multiply fractions:

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

= \frac{1 0 ^{11} \cdot 3 \cdot 1}{52.8 \cdot 1 0 ^{9}}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{1 0 ^{11} \cdot 3}{1 0 ^{9} \cdot 52.8}

Apply exponent rule:

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

\frac{1 0 ^{11}}{1 0 ^{9}} = 1 0^{11 - 9}

= \frac{3 \cdot 1 0 ^{11 - 9}}{52.8}

Subtract the numbers:

11 - 9 = 2

= \frac{1 0 ^{2} \cdot 3}{52.8}

1 0^{2} \cdot 3 = 300

= \frac{300}{52.8}

Divide the numbers:

\frac{300}{52.8} = 5.68181 \dots

= 5.68181 \dots

(3 x)^{5}

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What is (3*10^8)/(4*13.2*10^{-3)}*10^{-9} ?
The solution to (3*10^8)/(4*13.2*10^{-3)}*10^{-9} is 5.68181…