Multiplication of Powers: Presenting powers with negative exponents as fractions

Using the commutative lawCombination of different basesFactoring Out the Greatest Common Factor (GCF)Numbers as coefficientsSolving the problemVariable in the exponent of the powerIdentify the greater valueVariables in the exponent of the powerInverse formulaVariable in the base of the powerNumber of termsSystem of equations with no solutionCalculating powers with negative exponentsApplying the formulaUsing multiple rules
Question 1

\( 300^{-4}\cdot(\frac{1}{300})^{-4}=? \)

Question 2

Reduce the following equation:

\( 11^{-2}\times11^{-5}\times11^{-4}= \)

Question 3

Insert the corresponding expression:

\( 9^{-1}\times9^{-2}\times9^{-3}= \)

Question 4

Insert the corresponding expression:

\( 8^{-10}\times8^{-5}\times8^9= \)

Question 5

Insert the corresponding expression:

\( 4^{-6}\times4= \)

Examples with solutions for Multiplication of Powers: Presenting powers with negative exponents as fractions

Exercise #1

300−4⋅(1300)−4=? 300^{-4}\cdot(\frac{1}{300})^{-4}=?

Video Solution

Answer

1

Exercise #2

Reduce the following equation:

11−2×11−5×11−4= 11^{-2}\times11^{-5}\times11^{-4}=

Video Solution

Answer

11111 \frac{1}{11^{11}}

Exercise #3

Insert the corresponding expression:

9−1×9−2×9−3= 9^{-1}\times9^{-2}\times9^{-3}=

Video Solution

Answer

All answers are correct

Exercise #4

Insert the corresponding expression:

8−10×8−5×89= 8^{-10}\times8^{-5}\times8^9=

Video Solution

Answer

186 \frac{1}{8^6}

Exercise #5

Insert the corresponding expression:

4−6×4= 4^{-6}\times4=

Video Solution

Answer

145 \frac{1}{4^5}

Question 1

\( \)

Insert the corresponding expression:

\( \)\( 5^{-8}\times5^6= \)

Exercise #6

Insert the corresponding expression:

5−8×56= 5^{-8}\times5^6=

Video Solution

Answer

a'+b' are correct