Question

For any two real numbers a and b where b ≠0 and for all integers is this true

Answer 1

Given:-

`64^{(1)/(4)},256^{(1)/(8)},125^{(1)/(3)}`

To find:-

The simplified value.

So now we have,

`\begin{gathered} 64=2*2*2*2*2*2 \\ 256=2*2*2*2*2*2*2*2 \\ 125=5*5*5 \end{gathered}`

So we have,

`64=2^6,256=2^8,125=5^3`

So now,

`\begin{gathered} 64^{(1)/(4)}=(2^6)^{(1)/(4)},256=(2^8)^{(1)/(8)},125=(5^3)^{(1)/(3)} \\ 64=4,256=2,125=5 \end{gathered}`

So the value is,

`4,6,5`