Powers of a Fraction: Presenting powers in the denominator as powers with negative exponents

Combination of different basesComplete the equationUsing multiple rulesApplying the formulaVariable in the exponent of the powerVariable in the base of the powerInverse formulaNumber of termsconverting Negative Exponents to Positive ExponentsCalculating powers with negative exponentsSystem of equations with no solution
Question 1

Insert the corresponding expression:

\( \frac{1}{6^7}= \)

Question 2

Insert the corresponding expression:

\( \frac{1}{3^2}= \)

Question 3

Insert the corresponding expression:

\( \frac{1}{5^2}= \)

Question 4

Insert the corresponding expression:

\( \frac{1}{4^2}= \)

Question 5

Insert the corresponding expression:

\( \frac{1}{20^2}= \)

Examples with solutions for Powers of a Fraction: Presenting powers in the denominator as powers with negative exponents

Exercise #1

Insert the corresponding expression:

167= \frac{1}{6^7}=

Video Solution

Answer

6−7 6^{-7}

Exercise #2

Insert the corresponding expression:

132= \frac{1}{3^2}=

Video Solution

Answer

3−2 3^{-2}

Exercise #3

Insert the corresponding expression:

152= \frac{1}{5^2}=

Video Solution

Answer

5−2 5^{-2}

Exercise #4

Insert the corresponding expression:

142= \frac{1}{4^2}=

Video Solution

Answer

4−2 4^{-2}

Exercise #5

Insert the corresponding expression:

1202= \frac{1}{20^2}=

Video Solution

Answer

20−2 20^{-2}