1

Problem

Solve the expression: \$ 15^(15)/15^(10) \$.

2

Step

Given expression

\$ 15^(15)/15^(10) \$

3

Hint

Recognize that both terms have the same base (15).

4

Formula

Property of exponents: \$ (a^m)/(a^n) = (a^(m - n)) \$.

5

Step

Apply the property of exponent

\$ 15^(15)/15^(10) \$

\$ 15^(15 - 10) \$

6

Step

Simplify the exponent

\$ 15^(15 - 10) \$

\$ 15^5 \$

7

Solution

So, the expression \$ 15^(15)/15^(10) \$ simplifies to \$ 15^5 \$.

8

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

9

Choice-A

This option is incorrect because it incorrectly adds 1 to the exponent difference

Wrong \$15^6\$

10

Choice-B

This step is correct because the result of the expression is \$15^5\$

Correct \$15^5\$

11

Choice-C

This option is incorrect because it incorrectly adds 2 to the exponent difference

Wrong \$15^7\$

12

Choice-D

This option is incorrect because it incorrectly adds 4 to the exponent difference

Wrong \$15^9\$

13

Step

Option

B

14

Sumup

Please Summarize Choices