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Evaluate each expression for the given value.

a2 when a = 3/4

2 Answers

1 vote

Final answer:

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

User Lucas Henrique
by
7.4k points
5 votes

Answer:

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)

User Abhijeet Kamble
by
8.5k points

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