Question

Simplify (1/2x^2y)^5

Answer 1

Start with

`\left((1)/(2)x^2y\right)^5`

We have to raise all terms to the fifth power:

`\left((1)/(2)x^2y\right)^5 = \left((1)/(2)\right)^5\cdot (x^2)^5\cdot y^5`

Recall the law

`(a^b)^c=a^(bc)`

to conclude that

`\left((1)/(2)x^2y\right)^5 = (1)/(2^5)x^(10)y^5=(1)/(32)x^(10)y^5`