Question

Simplify:
(4xy^-6)^-3


`(4xy^(-6) )^(-3)`

Answer 1

(4^-3)(x^-3) y^(18)

or

y^18/ (64 x^3)

Explanation:

(4xy^-6)^-3

Distribute the exponent to all terms in the parentheses

(4^-3)(x^-3) (y^-6)^-3

a^ b^c = a^ (b*c)

(4^-3)(x^-3) y^(-6*-3)

(4^-3)(x^-3) y^(18)

If we do not want negative exponents

a ^ -b = 1/ a^b

y^18/( 4^3 x^3)

y^18/ (64 x^3)