Question

The expression
(
10
2
)
(
10
2
)
(
10
2
)
10
3
represents the number of Box
3
boxes that fit inside Box
2
.



Which TWO expressions show the number of Box
3
boxes that fit inside Box
2
?



A.
10
(
2
)
(
3
)
÷
3

B.
10
(
2
+
3
)
÷
3

C.
10
(
2
)
(
3
)
−
3

D.
10
(
2
+
2
+
2
−
3
)

E.
10
(
2
)
(
2
)
(
2
)
−
3

Answer 1

I’m not sure how to read the notation you pasted. Does 10(2) mean 10^2 (ten squared) or 10×2 (ten times two)? And does ÷3 mean "divide by 3" or "divide by 10^3"? The answer depends on those meanings.

If 10(2) means 10^2 and the original expression is
(10^2)(10^2)(10^2) ÷ 10^3,
then that simplifies to 10^(2+2+2−3) = 10^3, and the only option that clearly matches that form is D: 10(2+2+2−3). (None of the other choices, as written, is equivalent to 10^3.)

Please confirm how the notation is intended (e.g., paste the expression using ^ for exponents or clarify what ÷3 stands for) and I’ll pick the two correct choices.