What is 10^{-9.2}*0.05 ?

The solution to 10^{-9.2}*0.05 is 1/(20*10^{9.2)}

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simplify 10^{-9.2}*0.05

simplify

1 0^{- 9.2} \cdot 0.05

\frac{1}{20 \cdot 1 0 ^{9.2}}

Solution steps

1 0^{- 9.2} \cdot 0.05

Apply exponent rule:

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

1 0^{- 9.2} = \frac{1}{1 0 ^{9.2}}

= \frac{1}{1 0 ^{9.2}} \cdot 0.05

\frac{1}{1 0 ^{9.2}} \cdot 0.05 = \frac{0.05}{1 0 ^{9.2}}

= \frac{0.05}{1 0 ^{9.2}}

\frac{0.05}{1 0 ^{9.2}} = \frac{5}{100 \cdot 1 0 ^{9.2}}

= \frac{5}{100 \cdot 1 0 ^{9.2}}

Cancel the numbers:

\frac{5}{100} = \frac{1}{20}

= \frac{1}{20 \cdot 1 0 ^{9.2}}

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