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Popular >

simplify 10^4(1.2*10^{-2})

Solution

simplify

1 0^{4} (1.2 \cdot 1 0^{- 2})

Solution

120

Solution steps

1 0^{4} (1.2 \cdot 1 0^{- 2})

1 0^{4} = 10000

= 10000 \cdot 1.2 \cdot 1 0^{- 2}

Apply exponent rule:

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

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

= 10000 \cdot 1.2 \cdot \frac{1}{1 0 ^{2}}

1 0^{2} = 100

= 10000 \cdot 1.2 \cdot \frac{1}{100}

Multiply the numbers:

10000 \cdot 1.2 = 12000

= 12000 \cdot \frac{1}{100}

= \frac{1}{100} \cdot 12000

\frac{1}{100} \cdot 12000 = 120

= 120

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Frequently Asked Questions (FAQ)

What is 10^4(1.2*10^{-2}) ?
The solution to 10^4(1.2*10^{-2}) is 120