Power of a Product: Variable in the exponent of the power

Solving the equationSame base and different indicatorUsing multiple rulesCombination of different basesVariables in the exponent of the powerCalculating powers with negative exponentsVariable in the base of the powerInverse formulaNumber of termsApplying the formula
Question 1

\( (g\times a\times x)^4+(4^a)^x= \)

Question 2

Expand the following equation:

\( \)\( \left(2a\right)^{y+5}= \)

Question 3

Insert the corresponding expression:

\( \left(4\times a\right)^{-x}= \)

Question 4

Solve the following equation :

\( \left(a\times x\right)^{-t}= \)

Examples with solutions for Power of a Product: Variable in the exponent of the power

Exercise #1

(g×a×x)4+(4a)x= (g\times a\times x)^4+(4^a)^x=

Video Solution

Answer

g4a4x4+4ax g^4a^4x^4+4^{ax}

Exercise #2

Expand the following equation:

(2a)y+5= \left(2a\right)^{y+5}=

Video Solution

Answer

2y+5×ay+5 2^{y+5}\times a^{y+5}

Exercise #3

Insert the corresponding expression:

(4×a)−x= \left(4\times a\right)^{-x}=

Video Solution

Answer

14x−aa \frac{1}{4^x-a^a}

Exercise #4

Solve the following equation :

(a×x)−t= \left(a\times x\right)^{-t}=

Video Solution

Answer

1at×xt \frac{1}{a^t\times x^t}