Question

find the value of (729)-1/6

Answer 1

Hope it helps mark as brainiest

Answer 2

Value =

$\frac{1}{3}$

GIVEN:- $( {729})^{ - \frac{ 1}{6} }$

TO FIND:- Value.

SOLUTION:-

• When we multiply a number by itself several times then it can be written in a short form known as exponential or power notation.

According to the question,

${(729)}^{ - \frac{1}{6} }$

729 can be written as

$(3 \times 3 \times 3 \times 3 \times 3 \times 3) = {3}^{6}$

By evaluating

$({ {3}^{6} })^{ - \frac{ 1}{6} }$

As we know when,

$( { {a}^{m} })^{n} = {a}^{m \times n}$

Similarly,

$( {3})^{6 \times - \frac{1}{6} } \\ = {3}^{ - 1}$

As we know

${a}^{ - 1} = \frac{1}{a}$

Similarly,

$\frac{1}{3}$

Hence, value =

$\frac{1}{3}$

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