Simplify (x^-5*(y^-6*z^1)^2)/(x^4*y^-1*z^-2)
Write your answer with positive exponents only.
Simplify (x^-5*(y^-6*z^1)^2)/(x^4*y^-1*z^-2)
Write your answer with positive exponents only.
That looks like [x^{-5} (y^{-6}z^{1})^{2}]/(x^{4}y^{-1}z^{-2})
First, simplify the exponent outside the innermost parentheses:
[x^{-5} y^{-12}z^{2} / (x^{4}y^{-1}z^{-2})
From there, subtract the exponents of the similar factors in the denominator from the exponents in the numerator:
x^{-5-4 }y^{-12 - (-1)}z^{2 - (-2)}
x^{-9 }y^{-11 }z^{4}
Since x^{-a} = 1/x^{a}, anything with a negative exponent gets moved to the denominator:
z^{4 }/ (x^{9}y^{11})