Question

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Evaluate each expression for the given value.

a2 when a = 3/4

Answer 1

To evaluate a^2 for a=3/4, square both the numerator and the denominator to obtain 9/16.

Step-by-step explanation:

To evaluate the expression a2 when a = 3/4, you'll raise the given value to the power of two. Squaring a fraction involves squaring the numerator and the denominator separately. Thus:

(3/4)2 = (32) / (42)

The calculation will result in:

32 = 9 and 42 = 16

Therefore, (3/4)2 = 9/16

Answer 2

The answer is 9/16.

Step-by-step explanation:

Using Indices Law,

`{( (a)/(b)) }^(n) ⇒ \frac{ {a}^(n) }{ {b}^(n) }`

So for this question :

`{ ((3)/(4)) }^(2)`

`= \frac{ {3}^(2) }{ {4}^(2) }`

`= (3 * 3)/(4 * 4)`

`= (9)/(16)`