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Popular >

simplify (10/3)^3x0.3^{-1}

Solution

simplify

(\frac{10}{3})^{3} x 0. 3^{- 1}

Solution

123.45679 \dots x

Solution steps

(\frac{10}{3})^{3} x \cdot 0. 3^{- 1}

Apply exponent rule:

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

= (\frac{10}{3})^{3} \frac{1}{0.3} x

(\frac{10}{3})^{3} = \frac{1 0 ^{3}}{3 ^{3}}

= \frac{1}{0.3} \cdot \frac{1 0 ^{3}}{3 ^{3}} x

Multiply fractions:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= \frac{1 0 ^{3} \cdot 1 \cdot x}{3 ^{3} \cdot 0.3}

Refine

= \frac{1000 x}{3 ^{3} \cdot 0.3}

3^{3} \cdot 0.3 = 8.1

= \frac{1000 x}{8.1}

Divide the numbers:

\frac{1000}{8.1} = 123.45679 \dots

= 123.45679 \dots x

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Frequently Asked Questions (FAQ)

What is (10/3)^3x0.3^{-1} ?
The solution to (10/3)^3x0.3^{-1} is 123.45679…x