Question

Which expression is equivalent to 16+2·36?

f 2^4 + 2^3 ⋅ 3^2
g 2^3 + 2^3 ⋅ 3^2
h 2^4 + 2^2 ⋅ 3^2
j 2^3 + 2^2 ⋅ 3^3

Answer 1

f 2^4 + 2^3 ⋅ 3^2

Explanation:

Answer 2

9514 1404 393

Answer:

f 2^4 + 2^3 ⋅ 3^2

Explanation:

16 +2·36 = 16 +2·4·9 = 16 +8·9

= 2^4 + 2^3 · 3^2 . . . . . matches choice F

_____

Since you're familiar with your multiplication tables, you know ...

4 = 2·2

8 = 2·4 = 2·2·2 = 2^3

16 = 2·8 = 2·2·2·2 = 2^4

9 = 3·3 = 3^2

36 = 4·9

The exponent signifies repeated multiplication.