Question

Help me! Make sure to do step by step! (I need to see the steps)

Simplify
(9x^8y^2z^6)^1/2

Answer 1

Answer:
`3x^4yz^3`

I'm hoping this is your equation:
`(9x^(8)y^(2)z^(6))^(1/2)`

and not:
`(9x^{8y^{2z^(z^6)}})`

Explanation:

The square root of a number can be shown as a 1/2 power

We'll use the exponent rule:

=
`9^(1/2)(x^8 )^(1/2)(y^2)^(1/2)(z^6){1/2}`

Then we'll do each term individually

the square root of 9 is 3

for
`(x^8)^(1/2)` the exponents multiply which give us
`x^4`

`(y^2)^(1/2)` gives us y

`(z^6)^(1/2)` gives us z^3

After doing all this we get
`3x^4yz^3`