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Popular >

simplify (3x10^{-3})^4

Solution

simplify

(3 x 1 0^{- 3})^{4}

Solution

\frac{81 x ^{4}}{1 0 ^{12}}

Solution steps

(3 x \cdot 1 0^{- 3})^{4}

Apply exponent rule:

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

(3 x \cdot 1 0^{- 3})^{4} = 3^{4} x^{4} (1 0^{- 3})^{4}

= 3^{4} x^{4} (1 0^{- 3})^{4}

3^{4} = 81

= 81 x^{4} (1 0^{- 3})^{4}

(1 0^{- 3})^{4} = \frac{1}{1 0 ^{12}}

= 81 x^{4} \frac{1}{1 0 ^{12}}

Simplify

81 x^{4} \frac{1}{1 0 ^{12}} : \frac{81 x ^{4}}{1 0 ^{12}}

= \frac{81 x ^{4}}{1 0 ^{12}}

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Frequently Asked Questions (FAQ)

What is (3x10^{-3})^4 ?
The solution to (3x10^{-3})^4 is (81x^4)/(10^{12)}