Question

which expression is equivalent to
16 + 4·36

a) $2^3 + 2^2·3$
b) $2^4 + 2^4·3$
c) $2^3 + 2^3·3^3$
d) $2^4 + 2^4·3^2$

Explanation:

Step1: Rewrite terms as powers

$16 = 2^4$, $4=2^2$, $36=3^2$

Step2: Substitute into original expression

$2^4 + 2^2 \cdot 3^2$

Step3: Match to option format

Note $2^2 \cdot 3^2 = (2^2 \cdot 3^2)$, and $2^4 + 2^4 \cdot 3^2$ is not correct, wait correct substitution:
Wait original: $16 + 4 \cdot 36 = 2^4 + 2^2 \cdot (2^2 \cdot 3^2) = 2^4 + 2^4 \cdot 3^2$

Answer:

d) $2^4 + 2^4 \cdot 3^2$