Question

simplified value of (64)⅙ is
​

Answer 1

Answer:

Here is your answer :-

\begin{gathered}{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\end{gathered}

64

6

1

=

6

64

=

6

2×2×2×2×2×2

=

6

2

6

=2

6

1

×6

=2

Answer 2

Answer:

$2$

Step-by-step explanation:

$(64) ^{ \frac{1}{6} } \\ \\ = ( {2}^{6} ) ^{ \frac{1}{6} } \: \: \: \: [\because {2}^{6} = 64 ] \\ \\ = ( {2}^{ \cancel6} ) ^{ \frac{1}{ \cancel6} } \\ \\ = 2$

HOPE IT HELPS YOU !

THANKS !