Question

Simplify 1000^2/3 and find the index.

Answer 1

100

Explanation:

Here, we want to simplify the given indices and also get the index

The index is simply the power or exponent 2/3 and that is the index

1000^2/3

we can use the law of indices here;

1000^2/3 =( 3√(1000)^)2

the cube root of 1000 is 10

so we have 10^2 = 100