Simple Maths Confusion

Question

I have a confusion on a quite basic math thing. Fractional exponent.

For example:

64^1/6

What do I do with this? I know the answer is 2 but

64^1/6 ----> ? ---> 2

Answer 1

Favorite Answer

In a simple way, I can explain in this way:

64^ (1/6) = 2

L.H.S = 64^ (1/6)

= (2^6)^(1/6)

= 2^(6/6)

= 2

= R.H.S.

Also, there is a formula that:

"x^(m/n) = n√x^m"

Therefore, we may also use this to find out:

64^(1/6)

= 6√64

= 2

Source(s): me

Answer 2

You should just remember the below formula:

a^1/m ----> m√a (m th root of a)

Answer 3

64^(1/6)

=[2*2*2*2*2*2]^(1/6)

=[2^6]^(1/6)

=2^(6*1/6)

=2^1

=2

we have (a^b)^c=a^(b*c)