Examples with solutions for Power of a Product: Inverse formula

Exercise #1

Insert the corresponding expression:

116×46= 11^6\times4^6=

Video Solution

Answer

(11×4)6 \left(11\times4\right)^6

Exercise #2

Insert the corresponding expression:

87×107= 8^7\times10^7=

Video Solution

Answer

(8×10)7 \left(8\times10\right)^7

Exercise #3

Insert the corresponding expression:

23×43= 2^3\times4^3=

Video Solution

Answer

(2×4)3 \left(2\times4\right)^3

Exercise #4

Insert the corresponding expression:

34×44= 3^4\times4^4=

Video Solution

Answer

(3×4)4 \left(3\times4\right)^4

Exercise #5

Insert the corresponding expression:

54×65= 5^4\times6^5=

Video Solution

Answer

a'+b' are correct

Exercise #6

Insert the corresponding expression:

85×95= 8^5\times9^5=

Video Solution

Answer

All answers are correct

Exercise #7

Insert the corresponding expression:

911×711×611= 9^{11}\times7^{11}\times6^{11}=

Video Solution

Answer

All answers are correct

Exercise #8

Insert the corresponding expression:

2010×410×210= 20^{10}\times4^{10}\times2^{10}=

Video Solution

Answer

(20×4×2)10 \left(20\times4\times2\right)^{10}

Exercise #9

Insert the corresponding expression:

116×106×126= 11^6\times10^6\times12^6=

Video Solution

Answer

All answers are correct

Exercise #10

Insert the corresponding expression:

58×88×108= 5^8\times8^8\times10^8=

Video Solution

Answer

(5×8×10)8 \left(5\times8\times10\right)^8

Exercise #11

Insert the corresponding expression:

29×49×79= 2^9\times4^9\times7^9=

Video Solution

Answer

(2×4×7)9 \left(2\times4\times7\right)^9

Exercise #12

Insert the corresponding expression:

87×107×167= 8^7\times10^7\times16^7=

Video Solution

Answer

(8×10×16)7 \left(8\times10\times16\right)^7

Exercise #13

Insert the corresponding expression:

5×35×115= 5\times3^5\times11^5=

Video Solution

Answer

5×(3×11)5 5\times\left(3\times11\right)^5

Exercise #14

Reduce the following equation:

27×37×107= 2^7\times3^7\times10^7=

Video Solution

Answer

All answers are correct

Exercise #15

Insert the corresponding expression:

99×89×29= 9^9\times8^9\times2^9=

Video Solution

Answer

(9×8×2)9 \left(9\times8\times2\right)^9

Exercise #16

Insert the corresponding expression:

1(2×7×8)9= \frac{1}{\left(2\times7\times8\right)^9}=

Video Solution

Answer

(2×7×8)9 \left(2\times7\times8\right)^{-9}

Exercise #17

Insert the corresponding expression:

1(10×7)5= \frac{1}{\left(10\times7\right)^5}=

Video Solution

Answer

(10×5)5 \left(10\times5\right)^{-5}

Exercise #18

Insert the corresponding expression:

187×97×57= \frac{1}{8^{-7}\times9^{-7}\times5^{-7}}=

Video Solution

Answer

(8×9×5)7 \left(8\times9\times5\right)^7

Exercise #19

Insert the corresponding expression:

146×76= \frac{1}{4^{-6}\times7^{-6}}=

Video Solution

Answer

(4×7)6 \left(4\times7\right)^6

Exercise #20

Insert the corresponding expression:

154×114= \frac{1}{5^{-4}\times11^{-4}}=

Video Solution

Answer

(5×11)4 \left(5\times11\right)^4