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Popular >

simplify (3.72(10))(10^{-2})

Solution

simplify

(3.72 (10)) (1 0^{- 2})

Solution

0.372

Solution steps

(3.72 (10)) (1 0^{- 2})

Apply rule:

(a) = a

(1 0^{- 2}) = 1 0^{- 2}

= 3.72 \cdot 10 \cdot 1 0^{- 2}

Multiply the numbers:

3.72 \cdot 10 = 37.2

= 37.2 \cdot 1 0^{- 2}

= 1 0^{- 2} \cdot 37.2

Apply exponent rule:

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

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

= \frac{1}{1 0 ^{2}} \cdot 37.2

1 0^{2} = 100

= \frac{1}{100} \cdot 37.2

\frac{1}{100} \cdot 37.2 = \frac{37.2}{100}

= \frac{37.2}{100}

Divide the numbers:

\frac{37.2}{100} = 0.372

= 0.372

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Frequently Asked Questions (FAQ)

What is (3.72(10))(10^{-2}) ?
The solution to (3.72(10))(10^{-2}) is 0.372