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Popular >

simplify (3*10^{-6})^2

Solution

simplify

(3 \cdot 1 0^{- 6})^{2}

Solution

\frac{9}{1 0 ^{12}}

+1

Solution steps

(3 \cdot 1 0^{- 6})^{2}

Apply exponent rule:

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

(3 \cdot 1 0^{- 6})^{2} = 3^{2} (1 0^{- 6})^{2}

= 3^{2} (1 0^{- 6})^{2}

3^{2} = 9

= 9 (1 0^{- 6})^{2}

Apply exponent rule:

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

(1 0^{- 6})^{2} = 1 0^{- 6 \cdot 2}

= 9 \cdot 1 0^{- 6 \cdot 2}

Multiply the numbers:

6 \cdot 2 = 12

= 9 \cdot 1 0^{- 12}

Apply exponent rule:

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

1 0^{- 12} = \frac{1}{1 0 ^{12}}

= 9 \cdot \frac{1}{1 0 ^{12}}

9 \cdot \frac{1}{1 0 ^{12}} = \frac{9}{1 0 ^{12}}

= \frac{9}{1 0 ^{12}}

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Frequently Asked Questions (FAQ)

What is (3*10^{-6})^2 ?
The solution to (3*10^{-6})^2 is 9/(10^{12)}