Multiplication of Powers: Combination of different bases

Using the commutative lawFactoring Out the Greatest Common Factor (GCF)Numbers as coefficientsPresenting powers with negative exponents as fractionsSolving the problemVariable in the exponent of the powerIdentify the greater valueVariables in the exponent of the powerInverse formulaVariable in the base of the powerNumber of termsCalculating powers with negative exponentsSystem of equations with no solutionApplying the formulaUsing multiple rules
Question 1

Reduce the following equation:

\( 2^3\times3^8\times3^9\times2^6= \)

Question 2

Reduce the following equation:

\( 6^2\times6^3\times3^2= \)

Question 3

Reduce the following equation:

\( a^{-5}\times a^8\times x^3= \)

Question 4

Reduce the following equation:

\( a^{-3}\times y^7\times a^{-4}\times y^{-5}= \)

Examples with solutions for Multiplication of Powers: Combination of different bases

Exercise #1

Reduce the following equation:

23×38×39×26= 2^3\times3^8\times3^9\times2^6=

Video Solution

Answer

29×317 2^9\times3^{17}

Exercise #2

Reduce the following equation:

62×63×32= 6^2\times6^3\times3^2=

Video Solution

Answer

65×32 6^5\times3^2

Exercise #3

Reduce the following equation:

a−5×a8×x3= a^{-5}\times a^8\times x^3=

Video Solution

Answer

a3×x3 a^3\times x^3

Exercise #4

Reduce the following equation:

a−3×y7×a−4×y−5= a^{-3}\times y^7\times a^{-4}\times y^{-5}=

Video Solution

Answer

a−7×y2 a^{-7}\times y^2