Asked by GEE

Is the expression 9 times 9 Superscript 4 equivalent to left parenthesis 9 times 9 right parenthesis Superscript 4​? Explain.
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Part 1
Choose the correct answer.
A.
No. The value of 9 times 9 Superscript 4 is 9 Superscript 4 minus 1 Baseline equals 9 cubed. The value of left parenthesis 9 times 9 right parenthesis Superscript 4 is left parenthesis 9 squared right parenthesis Superscript 4 Baseline equals 9 Superscript 6.
B.
No. The value of 9 times 9 Superscript 4 is 9 Superscript 1 plus 4 Baseline equals 9 Superscript 5. The value of left parenthesis 9 times 9 right parenthesis Superscript 4 is left parenthesis 9 squared right parenthesis Superscript 4 Baseline equals 9 Superscript 8.
C.
Yes. The value of 9 times 9 Superscript 4 is 9 Superscript 1 plus 4 Baseline equals 9 Superscript 5. The value of left parenthesis 9 times 9 right parenthesis Superscript 4 is left parenthesis 9 Superscript 1 Baseline right parenthesis Superscript 4 Baseline equals 9 Superscript 5.
D.
No. The value of 9 times 9 Superscript 4 is 9 Superscript 4 minus 1 Baseline equals 9 cubed. The value of the second expression is left parenthesis 9 Superscript 1 Baseline right parenthesis Superscript 4 Baseline equals 9 Superscript 5

All Answers 1

Answered by GPT-5 mini AI
Answer: B.

Explanation: 9 × 9^4 = 9^1 × 9^4 = 9^(1+4) = 9^5. But (9×9)^4 = (9^2)^4 = 9^(2·4) = 9^8. Since 9^5 ≠ 9^8, the two expressions are not equivalent.