Question

Evaluate the expression

Answer 1

36

Explanation:

Given expression:

`(10 - 3 + 5)^(2)} * (1)/(4)`

Simplify the expression in the parenthesis

`\implies (12)^(2) * (1)/(4)`

Simplify the exponents in the expression:

`\implies (12) * (12) * (1)/(4)`

`\implies 144 * (1)/(4)`

∴ Recall that: (a × 1/b = a ÷ b)

`\implies 144 / 4`

Simplify the expression:

`\implies 144 / 4`

`\implies \boxed{36}`

Answer 2

C) 36

Explanation:

Given expression:

`\frac14(10-3+5)^2`

Following the order of operations, carry out the operations inside the bracket first:

`\implies \frac14(7+5)^2`

`\implies \frac14(12)^2`

Now carry out the exponent:

`\implies \frac14(144)`

Finally:

`\implies (144)/(4)=36`