Examples with solutions for Power of a Product: Solving the equation

Exercise #1

(3)584(3)3(3)2(3)5=? \frac{(-3)^5\cdot8^4}{(-3)^3(-3)^2(-3)^{-5}}=\text{?}

Video Solution

Answer

3584 -3^5\cdot8^4

Exercise #2

Find the value of y:

(3×2×4)2=3y \left(3\times2\times4\right)^2=3y

Video Solution

Answer

y=192 y=192

Exercise #3

Find the value of x:

1(2×3)2=2x \frac{1}{\left(2\times3\right)^{-2}}=2x

Video Solution

Answer

x=18 x=18