Question

What is the product of (3y^-4)(2y^-4)?

Answer 1

(x^a)(x^b)=x^(a+b)

(ab)(cd)=(a)(b)(c)(d)

x^-m=1/(x^m)


(3y^-4)(2y^-4)=
(3)(y^-4)(2)(y^-4)=
(6)(y^-8)=
6/(y^8)

Answer 2

Product of
`(3y^(-4))(2y^(-4))=6y^(-8)`

Explanation:

Given : Expression
`(3y^(-4))(2y^(-4))`

To find : The product of the given expression?

Solution :

`(3y^(-4))(2y^(-4))`

Applying property of exponent,
`x^a* x^b=x^(a+b)`

Comparing with given expression x=y , a=-4 and b=-4

`=(3)*(2)*(y^(-4+(-4)))`

Multiply 3 and 2,

`=6*(y^(-8))`

`=6y^(-8)`

Therefore, Product of
`(3y^(-4))(2y^(-4))=6y^(-8)`