Examples with solutions for Power of a Quotient Rule for Exponents: Inverse formula

Exercise #1

Insert the corresponding expression:

(2×5)92= \left(2\times5\right)^{9-2}=

Video Solution

Answer

(2×5)9(2×5)2 \frac{\left(2\times5\right)^9}{\left(2\times5\right)^2}

Exercise #2

Insert the corresponding expression:

(6×8)126= \left(6\times8\right)^{12-6}=

Video Solution

Answer

(6×8)12(6×8)6 \frac{\left(6\times8\right)^{12}}{\left(6\times8\right)^6}

Exercise #3

Insert the corresponding expression:

(4×9)5= \left(4\times9\right)^5=

Video Solution

Answer

(4×9)10(4×9)5 \frac{\left(4\times9\right)^{10}}{\left(4\times9\right)^5}

Exercise #4

Insert the corresponding expression:

(20×3)6= \left(20\times3\right)^6=

Video Solution

Answer

a'+b' are correct

Exercise #5

Insert the corresponding expression:

(15×5)3= \left(15\times5\right)^3=

Video Solution

Answer

(15×5)8(15×5)5 \frac{\left(15\times5\right)^8}{\left(15\times5\right)^5}

Exercise #6

Insert the corresponding expression:

a42= a^{4-2}=

Video Solution

Answer

a4a2 \frac{a^4}{a^2}

Exercise #7

Insert the corresponding expression:

x105= x^{10-5}=

Video Solution

Answer

x10x5 \frac{x^{10}}{x^5}

Exercise #8

Insert the corresponding expression:

y63= y^{6-3}=

Video Solution

Answer

y6y3 \frac{y^6}{y^3}

Exercise #9

Insert the corresponding expression:

x2= x^2=

Video Solution

Answer

x4x2 \frac{x^4}{x^2}

Exercise #10

Insert the corresponding expression:

a7= a^7=

Video Solution

Answer

A+B are correct

Exercise #11

Insert the corresponding expression:

(7×2)2ya2= \left(7\times2\right)^{2y-a-2}=

Video Solution

Answer

a'+b' are correct

Exercise #12

Insert the corresponding expression:

(10×5)4yx= \left(10\times5\right)^{4y-x}=

Video Solution

Answer

(10×5)4y(10×5)x \frac{\left(10\times5\right)^{4y}}{\left(10\times5\right)^x}

Exercise #13

Insert the corresponding expression:

(6×9)10y= \left(6\times9\right)^{10y}=

Video Solution

Answer

A'+C' are correct

Exercise #14

Insert the corresponding expression:

(10×4)5a= \left(10\times4\right)^{5a}=

Video Solution

Answer

(10×4)8a(10×4)3a \frac{\left(10\times4\right)^{8a}}{\left(10\times4\right)^{3a}}

Exercise #15

Insert the corresponding expression:

8ax4= 8^{ax-4}=

Video Solution

Answer

8ax84 \frac{8^{ax}}{8^4}

Exercise #16

Insert the corresponding expression:

102xa1= 10^{2x-a-1}=

Video Solution

Answer

102x10a+1 \frac{10^{2x}}{10^{a+1}}

Exercise #17

Insert the corresponding expression:

43a= 4^{3a}=

Video Solution

Answer

47a44a \frac{4^{7a}}{4^{4a}}

Exercise #18

Insert the corresponding expression:

(4×3)4xy= \left(4\times3\right)^{4x-y}=

Video Solution

Answer

(4×3)4x(4×3)y \frac{\left(4\times3\right)^{4x}}{\left(4\times3\right)^y}