Question

Find the value of third root 625 to the power - 2​

Answer 1

625 to the power of -2

We know that power can be made positive by writing the number in reciprocal.

625 to power -2 becomes,( 1/625) to power 2

We also know, 5×5×5×5 or 5 to power 4 is 625.

Now, fourth root of { (1/625) to power 2}

Fourth root of {1/(5^4)^2}

The root and power of four gets cancelled, only 1/5^2 remains.

So the answer will be 1/5^2 or 1/25 or 0.04

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