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Popular >

simplify 3.1*10^{-2}(5)

Solution

simplify

3.1 \cdot 1 0^{- 2} (5)

Solution

0.155

Solution steps

3.1 \cdot 1 0^{- 2} (5)

Apply rule:

(a) = a

(5) = 5

= 3.1 \cdot 1 0^{- 2} \cdot 5

Multiply the numbers:

3.1 \cdot 5 = 15.5

= 15.5 \cdot 1 0^{- 2}

= 1 0^{- 2} \cdot 15.5

Apply exponent rule:

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

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

= \frac{1}{1 0 ^{2}} \cdot 15.5

1 0^{2} = 100

= \frac{1}{100} \cdot 15.5

\frac{1}{100} \cdot 15.5 = \frac{15.5}{100}

= \frac{15.5}{100}

Divide the numbers:

\frac{15.5}{100} = 0.155

= 0.155

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Frequently Asked Questions (FAQ)

What is 3.1*10^{-2}(5) ?
The solution to 3.1*10^{-2}(5) is 0.155