Question

simplify and find the value of 81 1/3/81 1/12​

Answer 1

Answer:

(81 1/3)/(81 1/12)

=(244/3)/(973/12)

=(244*12)/(3*973)

=2928/2919

=1 1/2919

Answer 2

Question- Simplify and find the value of $81^{1/3}$÷$81^{1/12}$.

The required value is 3.

Given:

$81^{1/3}$÷$81^{1/12}$

To find:

The value

Solution:

We can obtain the value by using the following property-

$a^{m}/ a^{n}=a^{m-n}$

So, the required value can be obtained by subtracting the powers of 81.

=$81^{(1/3-1/12)}$

=$81^{(4/12-1/12)}$

=$81^{3/12}$

=$81^{1/4}$

=$\sqrt[4]{81}$

=3

Therefore, the required value is 3.

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