Question

What does 8/7 to the power of 4 equel

Answer 1

The equivalent expression
`(8^4)/(7^4) = (4096)/(2401)\approx 1.71`

Explanation:

Given:

`((8)/(7))^4`

We need to find the equivalent for given expression.

Solution:

`((8)/(7))^4`

Now by using Law of indices which states;

`((a)/(b))^n= (a^n)/(b^n)`

So applying the same in given expression we get;

`(8^4)/(7^4)`

Now we can say that;

`8^4 = 8 * 8 * 8 * 8`

Also

`7^4 = 7 * 7 * 7 * 7`

`(8^4)/(7^4) = (8 * 8 * 8 * 8)/(7 * 7 * 7 * 7)`

Now We know that;

`8 * 8 * 8 * 8 = 4096`

`7 * 7 * 7 * 7 = 2401`

On substituting we get;

`(8^4)/(7^4) = (4096)/(2401)\approx 1.71`

Hence The equivalent expression
`(8^4)/(7^4) = (4096)/(2401)\approx 1.71`