Math, asked by saiganesh38, 9 months ago

(343/1000)^-1/3 simplify ​

Answers

Answered by Anonymous
26

Ello ✌️✌️

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

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

 \frac{10 }{7 }

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Answered by syed2020ashaels
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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