Question

Which expression is equivalent to 1/√121x^9y^8z^10

Answer 1

1/(11 x^(9/2) y^4 z^5)

or

sqrt(x)/ 11 x^5 y^4 z^5

Explanation:

1/ sqrt(121x^9y^8z^10)

Lets simplify the denominator

sqrt(121x^9y^8z^10)

Break it into pieces

sqrt(121) sqrt(x^9) sqrt(y^8) sqrt(z^10)

11 sqrt (x^8) sqrt(x) y^4 z^5

11 x^4 y^4 z^5 * sqrt(x)

Putting this back in

1

----------------------------

11 x^4 y^4 z^5 * sqrt(x)

But we dont want a sqrt root in the denominator

Multiply by sqrt(x)/sqrt(x)

sqrt(x)

----------------------------

11 x^4 y^4 z^5 * sqrt(x) sqrt(x)

sqrt(x)

----------------------------

11 x^4 y^4 z^5 * x

sqrt(x)

----------------------------

11 x^5 y^4 z^5