Question

Evaluate the expression

Answer 1

Answer:

36

Step-by-step explanation:

Given expression:

$(10 - 3 + 5)^{2}} \times \dfrac{1}{4}$

Simplify the expression in the parenthesis

$\implies (12)^{2} \times \dfrac{1}{4}$

Simplify the exponents in the expression:

$\implies (12) \times (12) \times \dfrac{1}{4}$

$\implies 144 \times \dfrac{1}{4}$

∴ Recall that: (a × 1/b = a ÷ b)

$\implies 144 \div 4$

Simplify the expression:

$\implies 144 \div 4$

$\implies \boxed{36}$

Answer 2

Answer:

C)  36

Step-by-step explanation:

Given expression:

$\dfrac14(10-3+5)^2$

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

$\implies \dfrac14(7+5)^2$

$\implies \dfrac14(12)^2$

Now carry out the exponent:

$\implies \dfrac14(144)$

Finally:

$\implies \dfrac{144}{4}=36$