Question

(343/1000)^-1/3 simplify ​

Answer 1

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$\frac{343}{1000} ^{ \frac { - 1}{3} }$

$\frac{1000}{343}^{ \frac{1}{3} }$

$\frac{10 }{7 }$

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Answer 2

The question is that we have to simplify the given expression.

The expression is (343/1000)^-1/3

${ \frac{343}{1000} }^{ \frac{ - 1}{3} }$

The above expression have to be simplified by the following steps

The power has a negative sign, so the exponent value have to be reciprocate.

${ \frac{1000}{343} }^{ \frac{1}{3} }$

The value in the power denotes the cube root

$\sqrt[3]{} = \frac{1}{3}$

therefore the expression becomes

$\sqrt[3]{ \frac{1000}{343} } \\ \sqrt[3]{1000} = 10 \\ \sqrt[3]{343} = 7$

7*7*7=343

10*10*10=1000

Therefore, the final answer is

$\sqrt[3]{ \frac{1000}{343} } = \frac{10}{7}$

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