Evaluate 7^-3

Problem

7(−3)

Solution

1. Identify the negative exponent rule, which states that a(−n)=1/(an) for any non-zero base a

2. Apply the rule to rewrite the expression as a fraction with a positive exponent.

7(−3)=1/7

3. Calculate the value of the denominator by multiplying the base by itself three times.

7=7⋅7⋅7

7⋅7=49

49⋅7=343

4. Substitute the calculated value back into the fraction.

1/7=1/343

Final Answer

7(−3)=1/343

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