1

Problem

Expression: \$9^5 \times 9^8\$.

2

Step

Given expression

\$9^5 \times 9^8\$

3

Step

Apply the product rule for exponents:\$(a^m \times a^n) = a^(m + n)\$

\$9^5 \times 9^8 \$

⇒ \$9^(5 + 8)\$

4

Step

Add the exponents:

\$9^5 \times 9^8 = 9^(13)\$

5

Solution

Therefore, the solved expression is \$9^(13)\$.

6

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

7

Choice-A

This option is incorrect because it incorrectly adds an extra 2 to the exponent sum, which should be 5 + 8

Wrong \$9^(15)\$

8

Choice-B

This option is incorrect because it incorrectly adds an extra 4 to the exponent sum, which should be 5 + 8

Wrong \$9^(17)\$

9

Choice-C

This step is correct because the result of the expression is \$9^(13)\$

Correct \$9^(13)\$

10

Choice-D

This option is incorrect because it incorrectly subtracts 2 from the exponent sum, which should be 5 + 8

Wrong \$9^(11)\$

11

Step

Option

C

12

Sumup

Please Summarize Choices