1

Problem

Simplify \$ 7^(-3) \$.

2

Step

Given expression

\$ 7^(-3) \$

3

Step

Apply the negative exponent rule:

\$ 7^(-3) \$= \$ (1) / 7^(-3) \$

4

Step

Calculate the exponent:

\$ 7 \times 7 \times 7 \$ = 343

5

Solution

Therefore, the simplified expression is \$ 1/343 \$.

6

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

7

Choice-A

This option is incorrect because it shows the denominator as 344 instead of 343

Wrong \$ 1/(344) \$

8

Choice-B

This option is correct because it matches the simplified result

Correct \$ 1/(343) \$

9

Choice-C

This option is incorrect because it shows the denominator as 347 instead of 343

Wrong \$ 1/(347) \$

10

Choice-D

This option is incorrect because it shows the denominator as 345 instead of 343

Wrong \$ 1/(345) \$

11

Step

Option

B

12

Sumup

Please Summarize Choices