Question

the value of 125 to power of -1by 3​

Answer 1

Answer:

root 5

Step-by-step explanation:

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Answer 2

Question:-

What is the value of

${125}^ { - \frac{1}{3} }$

Solution:-

We know that,

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

So,

${125}^{ - \frac{1}{3} } = \frac{1}{ {125}^{ \frac{1}{3} } }$

We know that,

${125}^{ \frac{1}{3} } = \sqrt[3]{125}$

$= > \frac{1}{ \sqrt[3]{125} }$

$\frac{1}{ \sqrt[3]{5 \times 5 \times 5} }$

$= > \frac{1}{5}$

Final Answer :-

$= \frac{1}{5}$