Examples with solutions for Multiplication of Powers: Variable in the exponent of the power

Exercise #1

Reduce the following equation

6x×6a×6b= 6^x\times6^a\times6^b=

Video Solution

Answer

6x+a+b 6^{x+a+b}

Exercise #2

Reduce the following equation:

83x×83y×82y+x= 8^{3x}\times8^{3y}\times8^{2y+x}=

Video Solution

Answer

84x+5y 8^{4x+5y}

Exercise #3

Reduce the following equation:

6a×64a= 6^a\times6^{4a}=

Video Solution

Answer

A+B are correct

Exercise #4

Reduce the following equation:

7x+a×7a×7x= 7^{x+a}\times7^a\times7^x=

Video Solution

Answer

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

Exercise #5

Reduce the following equation :

92a×92x×9a= 9^{2a}\times9^{2x}\times9^a=

Video Solution

Answer

93a+2x 9^{3a+2x}

Exercise #6

Reduce the following equation:

a3×a5×a4= a^{-3}\times a^5\times a^{-4}=

Video Solution

Answer

All answers are correct

Exercise #7

Reduce the following equation:

83x×83y×82y+x= 8^{-3x}\times8^{-3y}\times8^{2y+x}=

Video Solution

Answer

82xy 8^{-2x-y}