What is 1/5*(3*10^{-3})^3*(3*10^{-4})^{-2} ?

The solution to 1/5*(3*10^{-3})^3*(3*10^{-4})^{-2} is 3/50

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simplify 1/5(310^{-3})^3(310^{-4})^{-2}

simplify

\frac{1}{5} \cdot (3 \cdot 1 0^{- 3})^{3} \cdot (3 \cdot 1 0^{- 4})^{- 2}

\frac{3}{50}

Decimal Notation

0.06

Solution steps

\frac{1}{5} (3 \cdot 1 0^{- 3})^{3} (3 \cdot 1 0^{- 4})^{- 2}

(3 \cdot 1 0^{- 3})^{3} = \frac{27}{1000000000}

= \frac{1}{5} \cdot \frac{27}{1000000000} (3 \cdot 1 0^{- 4})^{- 2}

Apply exponent rule:

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

(3 \cdot 1 0^{- 4})^{- 2} = \frac{1}{( 3 \cdot 1 0 ^{- 4} ) ^{2}}

= \frac{1}{5} \cdot \frac{27}{1000000000} \cdot \frac{1}{( 3 \cdot 1 0 ^{- 4} ) ^{2}}

(3 \cdot 1 0^{- 4})^{2} = \frac{9}{100000000}

= \frac{1}{5} \cdot \frac{27}{1000000000} \cdot \frac{1}{\frac{9}{100000000}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{1}{5} \cdot \frac{27}{1000000000} \cdot \frac{100000000}{9}

\frac{1}{5} \cdot \frac{27}{1000000000} \cdot \frac{100000000}{9} = \frac{3}{50}

= \frac{3}{50}

\frac{π}{4} - \frac{π}{2}

- \frac{( - 1 )}{2 ( 1 )}

(6)^{2}

7 < \frac{x - 2}{2} < 18

What is 1/5*(3*10^{-3})^3*(3*10^{-4})^{-2} ?
The solution to 1/5*(3*10^{-3})^3*(3*10^{-4})^{-2} is 3/50