Question

(121x^6 y^8)^1/2 PLEASE HELP ASAP

Answer 1

Answer:
`11\text{x}^(3)\text{y}^(4)`

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Work Shown:

`\left(121\text{x}^6\text{y}^8\right)^(1/2)\\\\\left(121\right)^(1/2)*\left(\text{x}^6\right)^(1/2)*\left(\text{y}^8\right)^(1/2)\\\\√(121)\text{x}^(6*(1/2))\text{y}^(8*(1/2))\\\\11\text{x}^(3)\text{y}^(4)\\\\`

Therefore,

`\left(121\text{x}^6\text{y}^8\right)^(1/2)=11\text{x}^(3)\text{y}^(4)\\\\`

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Step-by-step explanation:

The exponent of 1/2 represents a square root. This is how
`(121)^(1/2)` turned into
`√(121)` which then simplified to 11.

As for the variable terms, we multiply that outer exponent 1/2 with each exponent inside the parenthesis. Think of it like the distribution rule. It's not really distribution, but similar.

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