# Divide (12x^-3y^-2z^-8)/(30x^-6y^-4z^-1)

12x-3y-2z-830x-6y-4z-1
Move z-8 to the denominator using the negative exponent rule b-n=1bn.
12x-3y-230x-6y-4z-1z8
Multiply z-1 by z8 by adding the exponents.
Move z8.
12x-3y-230x-6y-4(z8z-1)
Use the power rule aman=am+n to combine exponents.
12x-3y-230x-6y-4z8-1
Subtract 1 from 8.
12x-3y-230x-6y-4z7
12x-3y-230x-6y-4z7
Move x-6 to the numerator using the negative exponent rule 1b-n=bn.
12x-3y-2x630y-4z7
Move y-4 to the numerator using the negative exponent rule 1b-n=bn.
12x-3y-2x6y430z7
Simplify the numerator.
Multiply x-3 by x6 by adding the exponents.
Move x6.
12(x6x-3)y-2y430z7
Use the power rule aman=am+n to combine exponents.
12×6-3y-2y430z7
Subtract 3 from 6.
12x3y-2y430z7
12x3y-2y430z7
Multiply y-2 by y4 by adding the exponents.
Move y4.
12×3(y4y-2)30z7
Use the power rule aman=am+n to combine exponents.
12x3y4-230z7
Subtract 2 from 4.
12x3y230z7
12x3y230z7
12x3y230z7
Cancel the common factor of 12 and 30.
Factor 6 out of 12x3y2.
6(2x3y2)30z7
Cancel the common factors.
Factor 6 out of 30z7.
6(2x3y2)6(5z7)
Cancel the common factor.
6(2x3y2)6(5z7)
Rewrite the expression.
2x3y25z7
2x3y25z7
2x3y25z7
Divide (12x^-3y^-2z^-8)/(30x^-6y^-4z^-1)