Question

(3xy²)³ × (- 4x²y) =

Answer 1

`-108x^(5)y^(7)`

Explanation:

Simplify using the laws of exponents (there are more rules than listed, these given rules are just the ones that come into play here);

- when there is a term in parenthesis with an exponent outside, the term's exponent gets multiplied by the exponent outside

- when multiplying two exponents, one can only combine terms with the same base, and one must add the exponents

`(3xy^(2))^(3)*(-4x^(3)y)\\\\=(3^(3)*x^(3)*y^{2{^(3)}}) *(-4x^(2)y)\\\\=(27x^(3)y^(6))(-4x^(2)y)\\\\=-108x^(5)y^(7)`

Answer 2

− 108 x 5 y 7

Explanation:

My computer wont allow it but the 5 and the 7 are exponents