Question

(81/144)¹/²,Evaluate it.

Answer 1

${( \frac{81}{144}) }^{ \frac{1}{2} } \\ \sqrt{ \frac{81}{144} } \\ \frac{9}{12} \\ \frac{3}{4} \: ans$

Answer 2

9/12 = 3/4

Step-by-step explanation:

(81/144)¹/² means the root of 81/144

We find that the numerate and denominator can be expressed as the squares of numbers.

(81/144)¹/² = (9²/12²)¹/²

Now let's consider the numerator separately. (9²)¹/² = 9 as exponentiation cancels out and becomes 1.

Similarly (12²)¹/² = 12.

So (81/144)¹/² = 9/12

We can still simply this further as we have a common factor 3 between the numerator and denominator.

9/12 = 3/4