Question

If x^6=60 and w^10=20, what is x^12×w^-10? A. 36, B. 60, C. 180 or D. 360

Answer 1

`x^(12) w^(-10)`

And we can find this rewriting the expression in terms of the info given and we got:

`x^(12) w^(-10) = (x^6)^2 (w^(10))^(-1)`

And replacing we got:

`x^(12) w^(-10) = (60)^2 (20)^(-1)= (60^2)/(20)= 180`

And the best option would be:

C. 180

Explanation:

For this case we know that:

`x^6, w^(10) = 20`

And we want to find the value for:

`x^(12) w^(-10)`

And we can find this rewriting the expression in terms of the info given and we got:

`x^(12) w^(-10) = (x^6)^2 (w^(10))^(-1)`

And replacing we got:

`x^(12) w^(-10) = (60)^2 (20)^(-1)= (60^2)/(20)= 180`

And the best option would be:

C. 180