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Popular >

simplify (9*10^{-3})^2

Solution

simplify

(9 \cdot 1 0^{- 3})^{2}

Solution

\frac{81}{1000000}

+1

Solution steps

(9 \cdot 1 0^{- 3})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(9 \cdot 1 0^{- 3})^{2} = 9^{2} (1 0^{- 3})^{2}

= 9^{2} (1 0^{- 3})^{2}

9^{2} = 81

= 81 (1 0^{- 3})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

(1 0^{- 3})^{2} = 1 0^{- 3 \cdot 2}

= 81 \cdot 1 0^{- 3 \cdot 2}

Multiply the numbers:

3 \cdot 2 = 6

= 81 \cdot 1 0^{- 6}

Apply exponent rule:

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

1 0^{- 6} = \frac{1}{1 0 ^{6}}

= 81 \cdot \frac{1}{1 0 ^{6}}

1 0^{6} = 1000000

= 81 \cdot \frac{1}{1000000}

81 \cdot \frac{1}{1000000} = \frac{81}{1000000}

= \frac{81}{1000000}

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Frequently Asked Questions (FAQ)

What is (9*10^{-3})^2 ?
The solution to (9*10^{-3})^2 is 81/1000000