What is 2.15*10^{-2}*1.2*125 ?

The solution to 2.15*10^{-2}*1.2*125 is 3.225

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simplify 2.1510^{-2}1.2*125

simplify

2.15 \cdot 1 0^{- 2} \cdot 1.2 \cdot 125

3.225

Solution steps

2.15 \cdot 1 0^{- 2} \cdot 1.2 \cdot 125

Multiply the numbers:

2.15 \cdot 1.2 \cdot 125 = 322.5

= 322.5 \cdot 1 0^{- 2}

= 1 0^{- 2} \cdot 322.5

Apply exponent rule:

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

1 0^{- 2} = \frac{1}{1 0 ^{2}}

= \frac{1}{1 0 ^{2}} \cdot 322.5

1 0^{2} = 100

= \frac{1}{100} \cdot 322.5

\frac{1}{100} \cdot 322.5 = \frac{322.5}{100}

= \frac{322.5}{100}

Divide the numbers:

\frac{322.5}{100} = 3.225

= 3.225

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