Question

find the value of 5√(243) power -3​

Answer 1

The value of the expression is  $\sqrt[5]{(243)^{-3}}=\frac{1}{27}$.

Step-by-step explanation:

Given : Expression $\sqrt[5]{(243)^{-3}}$

To find : The value of the expression ?

Solution :

We know that, $3^5=243$

Re-write the expression as,

$\sqrt[5]{(243)^{-3}}=((243)^{-3})^{\frac{1}{5}}\\\\\sqrt[5]{(243)^{-3}}=(243)^{\frac{-3}{5}}\\\\\sqrt[5]{(243)^{-3}}=(3^5)^{\frac{-3}{5}}\\\\\sqrt[5]{(243)^{-3}}=(3)^{\frac{-3\times 5}{5}}\\\\\sqrt[5]{(243)^{-3}}=(3)^{-3}\\\\\sqrt[5]{(243)^{-3}}=\frac{1}{3^3}\\\\\sqrt[5]{(243)^{-3}}=\frac{1}{27}$

Therefore, the value of the expression is  $\sqrt[5]{(243)^{-3}}=\frac{1}{27}$.

#Learn more

Find the value of 243 raised to the power 3/5

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Answer 2

Hope this helps you.....