Question

simplify.

\\((-4)^2 + \frac{1}{3} \cdot 12^2\\)

a 16

b 32

c 64

d 2,352

Explanation:

Evaluate the exponential terms

Using the Order of Operations knowledge point

$$
LATEXBLOCK0
$$

Substitute exponents back into the expression

Using the Order of Operations knowledge point

$$ 16 + \frac{1}{3} \cdot 144 $$

Perform the multiplication

Using the Fraction Multiplication knowledge point

$$ \frac{1}{3} \cdot 144 = \frac{144}{3} = 48 $$

Perform the final addition

Using the Order of Operations knowledge point

$$ 16 + 48 = 64 $$

Answer:

• (A) 16
• (B) 32
• (C) 64 (Correct answer)
• (D) 2,352