How do you evaluate (5x ^ { - 3} y ) ( 6x ^ { 7} y ^ { - 4} )?

1 Answer
Oct 30, 2017

(5x^(-3)y)(6x^7y^(-4))=color(blue)((30x^4)/(y^3)

Explanation:

Simplify:

(5x^(-3)y)(6x^7y^(-4))

Simplify the parentheses.

5x^(-3)yxx6x^7y^(-4)

Multiply 5 and 6.

30x^(-3)yx^7y^(-4)

Gather like variables.

30x^(-3)x^(7)yy^(-4)

Apply the product rule of exponents: a^ma^n=a^(m+n). (No exponent is understood to be 1.

30x^(-3+7)y^(1-4)

Simplify.

30x^(4)y^(-3)

Apply the negative exponent rule: a^(-m)=1/a^m.

(30x^4)/(y^3) larr Answer