Examples with solutions for Multiplication of Powers: Inverse formula

Exercise #1

Expand the following equation:

22+5= 2^{2+5}=

Video Solution

Answer

22×25 2^2\times2^5

Exercise #2

Expand the following equation:

44+6= 4^{4+6}=

Video Solution

Answer

44×46 4^4\times4^6

Exercise #3

Expand the following equation:

78= 7^8=

Video Solution

Answer

None of the answers are correct

Exercise #4

Expand the following equation:

84= 8^4=

Video Solution

Answer

All answers are correct

Exercise #5

Expand the following equation:

63+2= 6^{3+2}=

Video Solution

Answer

63×62 6^3\times6^2

Exercise #6

Expand the following equation:

912= 9^{12}=

Video Solution

Answer

98×94 9^8\times9^4

Exercise #7

Expand the following equation:

54= 5^4=

Video Solution

Answer

5×5×52 5\times5\times5^2

Exercise #8

Expand the following equation:

612= 6^{12}=

Video Solution

Answer

62×63×67 6^2\times6^3\times6^7

Exercise #9

Expand the following equation:

810= 8^{10}=

Video Solution

Answer

83×83×84 8^3\times8^3\times8^4

Exercise #10

Expand the following expression:

76= 7^6=

Video Solution

Answer

71×7×74 7^1\times7\times7^4

Exercise #11

Expand the following equation:

22a+a= 2^{2a+a}=

Video Solution

Answer

22a×2a 2^{2a}\times2^a

Exercise #12

Expand the following equation:

32a+x+a= 3^{2a+x+a}=

Video Solution

Answer

32a×3x×3a 3^{2a}\times3^x\times3^a

Exercise #13

Expand the following equation:

4a+b+c= 4^{a+b+c}=

Video Solution

Answer

4a×4b×4c 4^a\times4^b\times4^c

Exercise #14

Expand the following equation:

72x+7= 7^{2x+7}=

Video Solution

Answer

7x×7x+7 7^x\times7^{x+7}

Exercise #15

Expand the following equation:

a3+5= a^{3+5}=

Video Solution

Answer

a3×a5 a^3\times a^5

Exercise #16

Expand the following equation:

g10a+5x= g^{10a+5x}=

Video Solution

Answer

g5a+5x×g5a g^{5a+5x}\times g^{5a}

Exercise #17

Expand the following equation:

x2+4= x^{2+4}=

Video Solution

Answer

A+B are correct

Exercise #18

Expand the following expression:

101= 10^{-1}=

Video Solution

Answer

1011×1010 10^{-11}\times10^{10}

Exercise #19

Expand the following expression:

46= 4^{-6}=

Video Solution

Answer

Exercise #20

Expand the following expression:

53= 5^{-3}=

Video Solution

Answer

A+B are correct