Question

find the answers for 64 power 1/6

Answer 1

Hey user

Here is your answer :-

${64}^{ \frac{1}{6} } \\ \\ = \sqrt[6]{64} \\ \\ = \sqrt[6]{2 \times 2 \times 2 \times 2 \times 2 \times 2} \\ \\ = \sqrt[6]{ {2}^{6} } \\ \\ = {2}^{ \frac{1}{6} \times 6 } \\ \\ = 2$

thank you.

Answer 2

Given:

64 power 1/6

To find:

The value of 64 power 1/6

Solution:

The value of 64 power 1/6 is 2.

We can find the value by following the given process-

We know that the required value can be obtained by expressing 64 as a power of 2.

We know that 64 can be written as 2 raised to power 6.

64=2×2×2×2×2×2

=$2^{6}$

Now, we will simply express it as follows-

64 power 1/6= $64^{1/6}$

=$(2^{6} )^{1/6}$

We know that $(x^{m})^{n}$=$x^{mn}$.

Similarly, $(2^{6} )^{1/6}$ = $2^{6(1/6)}$

We will multiply the powers,

=$2^{6/6}$

=$2^{1}$

=2

Therefore, the value of 64 power 1/6 is 2.