Examples with solutions for Power of a Quotient Rule for Exponents: Combination of different bases

Exercise #1

Insert the corresponding expression:

23×452×42= \frac{2^3\times4^5}{2\times4^2}=

Video Solution

Answer

a'+b' are correct

Exercise #2

Insert the corresponding expression:

67×8586×62= \frac{6^7\times8^5}{8^6\times6^2}=

Video Solution

Answer

65×81 6^5\times8^{-1}

Exercise #3

Insert the corresponding expression:

a5×b3×x2a2×b×x= \frac{a^5\times b^3\times x^2}{a^2\times b\times x}=

Video Solution

Answer

a3×b2×x a^3\times b^2\times x

Exercise #4

Insert the corresponding expression:

(2×3)4×(6×7)7(2×3)2×(6×7)4= \frac{\left(2\times3\right)^4\times\left(6\times7\right)^7}{\left(2\times3\right)^2\times\left(6\times7\right)^4}=

Video Solution

Answer

(2×3)2×(6×7)3 \left(2\times3\right)^2\times\left(6\times7\right)^3