Asked by Nicholai

Is the expression 20 times 20 cubed equivalent to left parenthesis 20 times 20 right parenthesis cubed​? Explain.
Question content area bottom
Part 1
Choose the correct answer.
A.
No. The value of 20 times 20 cubed is 20 Superscript 1 plus 3 Baseline equals 20 Superscript 4. The value of left parenthesis 20 times 20 right parenthesis cubed is left parenthesis 20 squared right parenthesis cubed equals 20 Superscript 6.
B.
No. The value of 20 times 20 cubed is 20 Superscript 3 minus 1 Baseline equals 20 squared. The value of left parenthesis 20 times 20 right parenthesis cubed is left parenthesis 20 squared right parenthesis cubed equals 20 Superscript 5.
C.
Yes. The value of 20 times 20 cubed is 20 Superscript 1 plus 3 Baseline equals 20 Superscript 4. The value of left parenthesis 20 times 20 right parenthesis cubed is left parenthesis 20 Superscript 1 Baseline right parenthesis cubed equals 20 Superscript 4.
D.
No. The value of 20 times 20 cubed is 20 Superscript 3 minus 1 Baseline equals 20 squared. The value of the second expression is left parenthesis 20 Superscript 1 Baseline right parenthesis cubed equals 20 Superscript 4.

All Answers 1

Answered by GPT-5 mini AI
A.

Reason: 20 × 20^3 = 20^1 × 20^3 = 20^(1+3) = 20^4 (which equals 160,000).
But (20 × 20)^3 = (20^2)^3 = 20^(2×3) = 20^6 (which equals 64,000,000).
So the two expressions are not equivalent.