Power of a Quotient Rule for Exponents: System of equations with no solution

Solving the problemCombination of different basesNumbers as coefficientsNumber of termsIdentify the greater valueVariables in the exponent of the powerInverse formulaVariable in the base of the powerApplying the formulaUsing multiple rules
Question 1

Insert the corresponding expression:

\( \frac{12^8}{12^3}= \)

Question 2

Insert the corresponding expression:

\( \frac{5^5}{5^4}= \)

Question 3

Insert the corresponding expression:

\( \frac{15^{22}}{15^{11}}= \)

Question 4

Insert the corresponding expression:

\( \frac{20^6}{20^5}= \)

Question 5

Insert the corresponding expression:

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

Examples with solutions for Power of a Quotient Rule for Exponents: System of equations with no solution

Exercise #1

Insert the corresponding expression:

128123= \frac{12^8}{12^3}=

Video Solution

Answer

128−3 12^{8-3}

Exercise #2

Insert the corresponding expression:

5554= \frac{5^5}{5^4}=

Video Solution

Answer

55−4 5^{5-4}

Exercise #3

Insert the corresponding expression:

15221511= \frac{15^{22}}{15^{11}}=

Video Solution

Answer

1522−11 15^{22-11}

Exercise #4

Insert the corresponding expression:

206205= \frac{20^6}{20^5}=

Video Solution

Answer

206−5 20^{6-5}

Exercise #5

Insert the corresponding expression:

2422= \frac{2^4}{2^2}=

Video Solution

Answer

24−2 2^{4-2}

Question 1

Insert the corresponding expression:

\( \frac{3^5}{3^3}= \)

Question 2

Insert the corresponding expression:

\( \frac{4^{12}}{4^7}= \)

Question 3

Insert the corresponding expression:

\( \frac{6^{15}}{6^9}= \)

Question 4

Insert the corresponding expression:

\( \frac{7^8}{7^8}= \)

Question 5

Insert the corresponding expression:

\( \frac{9^{11}}{9^4}= \)

Exercise #6

Insert the corresponding expression:

3533= \frac{3^5}{3^3}=

Video Solution

Answer

35−3 3^{5-3}

Exercise #7

Insert the corresponding expression:

41247= \frac{4^{12}}{4^7}=

Video Solution

Answer

412−7 4^{12-7}

Exercise #8

Insert the corresponding expression:

61569= \frac{6^{15}}{6^9}=

Video Solution

Answer

615−9 6^{15-9}

Exercise #9

Insert the corresponding expression:

7878= \frac{7^8}{7^8}=

Video Solution

Answer

78−8 7^{8-8}

Exercise #10

Insert the corresponding expression:

91194= \frac{9^{11}}{9^4}=

Video Solution

Answer

911−4 9^{11-4}