Question

Compare and contrast, in complete sentences, the difference between the products of y2y5 and (y2)5. Provide the expanded form and product of each.

Answer 1

@celecity

Answer 2

Ah, okay, so, what do you know about the rules of exponents?

Answer 3

I think its like this y^2y^5 = y^7 Because you add the exponents

Answer 4

Yep, right! Have any ideas for the second one?

Answer 5

but with the parenthese you'd multiply

Answer 6

Precisely.

Answer 7

(y^2)^5 = y^10 Because you multiply the exponents.

Answer 8

Yep.

So as far as the difference in product go, they're going to be different because adding and multiplying are going to give you a different number.

Let's say y equals 2.

(2)^2*(2)^5
2^7
128

(2^2)^5
2^10
1024

The difference is in the ^7 vs. the ^10. Does that makes sense?

Answer 9

I see!

Answer 10

The expanded form is going to look like this:
(y^2)(y^5)
yyyyyyy

(y^2)^5
(y^2)(y^2)(y^2)(y^2)(y^2)

Answer 11

So comparing the two, they both have exponents of 2 and 5. The difference is, the first one you add, and the second on you multiply

Answer 12

The product of the first one would be y^7 and the product of the second one would be y^10

Answer 13

thanks so much celecity

Answer 14

You're very welcome :)

Answer 15

:)