What is 1.5*10^{-5}*5(3/10)50 ?

The solution to 1.5*10^{-5}*5(3/10)50 is 9/8000

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simplify 1.510^{-5}5(3/10)50

simplify

1.5 \cdot 1 0^{- 5} \cdot 5 (\frac{3}{10}) 50

\frac{9}{8000}

Decimal Notation

0.001125

Solution steps

1.5 \cdot 1 0^{- 5} \cdot 5 (\frac{3}{10}) \cdot 50

Apply rule:

(a) = a

(\frac{3}{10}) = \frac{3}{10}

= 1.5 \cdot 1 0^{- 5} \cdot 5 \cdot \frac{3}{10} \cdot 50

Multiply the numbers:

1.5 \cdot 5 \cdot 50 = 375

= 375 \cdot 1 0^{- 5} \cdot \frac{3}{10}

= \frac{3}{10} \cdot 1 0^{- 5} \cdot 375

Apply exponent rule:

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

1 0^{- 5} = \frac{1}{1 0 ^{5}}

= \frac{3}{10} \cdot \frac{1}{1 0 ^{5}} \cdot 375

1 0^{5} = 100000

= \frac{3}{10} \cdot \frac{1}{100000} \cdot 375

\frac{3}{10} \cdot \frac{1}{100000} \cdot 375 = \frac{9}{8000}

= \frac{9}{8000}

7.6 \cdot 1 0^{- 2}

7.6 \cdot 1 0^{- 3}

1 0^{- 2} \cdot 63.4