Question

Please answer now!! (Math)

Answer 1

`\frac { 1 } { x ^ 2 1 y ^ { 1 2 } }`

Explanation:

We are given the following expression and we are to simplify it:

`[ \frac { ( x ^ { - 3 } ) ( y ^ 2 ) } { ( x ^ 4 ) ( y ^ 6 ) } ] ^ 3`

`(x^(-3* 3).y^(2* 3))/(x^(4* 3).y^(6*3) )`

`(x^(-9)y^6)/(x^(12)y^(18))`

`x^(-9-12).y^(6-12)`

`x^-21.y^(-12)`

This can also be written as:

`(1)/(x^21y^(12))`

Answer 2

2nd option

Explanation:

Simplify first what is in the parenthesis before distributing the exponent outside would help.

Remember that negative exponents simply means that their on the wrong side of the fraction. So if you find a variable with a negative exponent as a numerator, you bring them down and when it is found as a denominator, you bring them up.

Also when you distribute your exponents, you always multiply it to each exponent inside the parenthesis.

Look at the attached picture for the solution