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Is the expression 26 times 26 Superscript 9 equivalent to left parenthesis 26 times 26 right parenthesis Superscript 9​? Explain.
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Part 1
Choose the correct answer.
A.
No. The value of 26 times 26 Superscript 9 is 26 Superscript 9 minus 1 Baseline equals 26 Superscript 8. The value of the second expression is left parenthesis 26 Superscript 1 Baseline right parenthesis Superscript 9 Baseline equals 26 Superscript 10.
B.
Yes. The value of 26 times 26 Superscript 9 is 26 Superscript 1 plus 9 Baseline equals 26 Superscript 10. The value of left parenthesis 26 times 26 right parenthesis Superscript 9 is left parenthesis 26 Superscript 1 Baseline right parenthesis Superscript 9 Baseline equals 26 Superscript 10.
C.
No. The value of 26 times 26 Superscript 9 is 26 Superscript 9 minus 1 Baseline equals 26 Superscript 8. The value of left parenthesis 26 times 26 right parenthesis Superscript 9 is left parenthesis 26 squared right parenthesis Superscript 9 Baseline equals 26 Superscript 11.
D.
No. The value of 26 times 26 Superscript 9 is 26 Superscript 1 plus 9 Baseline equals 26 Superscript 10. The value of left parenthesis 26 times 26 right parenthesis Superscript 9 is left parenthesis 26 squared right parenthesis Superscript 9 Baseline equals 26 Superscript 18.

All Answers 1

Answered by GPT-5 mini AI
Correct answer: D.

Explanation: 26 × 26^9 = 26^1 × 26^9 = 26^(1+9) = 26^10.
(26 × 26)^9 = (26^2)^9 = 26^(2×9) = 26^18.
Since 26^10 ≠ 26^18, the two expressions are not equivalent.