Examples with solutions for Multiplication of Powers: System of equations with no solution

Exercise #1

Simplify the following equation:

58×53= 5^8\times5^3=

Video Solution

Answer

58+3 5^{8+3}

Exercise #2

Simplify the following equation:

34×35= 3^4\times3^5=

Video Solution

Answer

34+5 3^{4+5}

Exercise #3

Simplify the following equation:

22×23= 2^2\times2^3=

Video Solution

Answer

22+3 2^{2+3}

Exercise #4

Simplify the following equation:

9×99= 9\times9^9=

Video Solution

Answer

91+9 9^{1+9}

Exercise #5

Simplify the following equation:

83×8= 8^3\times8=

Video Solution

Answer

83+1 8^{3+1}

Exercise #6

Simplify the following equation:

62×68= 6^2\times6^8=

Video Solution

Answer

62+8 6^{2+8}

Exercise #7

Simplify the following equation:

12×122= 12\times12^2=

Video Solution

Answer

121+2 12^{1+2}

Exercise #8

Simplify the following equation:

76×76= 7^6\times7^6=

Video Solution

Answer

76+6 7^{6+6}

Exercise #9

Simplify the following equation:

45×4×42= 4^5\times4\times4^2=

Video Solution

Answer

45+1+2 4^{5+1+2}

Exercise #10

Simplify the following equation:

53×56×52= 5^3\times5^6\times5^2=

Video Solution

Answer

53+6+2 5^{3+6+2}

Exercise #11

Simplify the following equation:

97×93×95= 9^7\times9^3\times9^5=

Video Solution

Answer

97+3+5 9^{7+3+5}

Exercise #12

Simplify the following equation:

112×113×114= 11^2\times11^3\times11^4=

Video Solution

Answer

112+3+4 11^{2+3+4}

Exercise #13

Simplify the following equation:

21×22×23= 2^1\times2^2\times2^3=

Video Solution

Answer

21+2+3 2^{1+2+3}

Exercise #14

Reduce the following equation:

24×22×23= 2^4\times2^{-2}\times2^3=

Video Solution

Answer

242+3 2^{4-2+3}

Exercise #15

Simplify the following equation:

42×44= 4^{-2}\times4^{-4}=

Video Solution

Answer

424 4^{-2-4}

Exercise #16

Simplify the following equation:

34×32= 3^{-4}\times3^{-2}=

Video Solution

Answer

342 3^{-4-2}

Exercise #17

Simplify the following equation:

26×23= 2^6\times2^{-3}=

Video Solution

Answer

263 2^{6-3}

Exercise #18

Insert the corresponding expression:

84×8×81= 8^4\times8\times8^{-1}=

Video Solution

Answer

84+11 8^{4+1-1}

Exercise #19

Insert the corresponding expression:

72×73×75= 7^{-2}\times7^{-3}\times7^5=

Video Solution

Answer

723+5 7^{-2-3+5}

Exercise #20

Reduce the following equation:

t7×t2= t^7\times t^2=

Video Solution

Answer

t7+2 t^{7+2}