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5 votes
Find the product.

(y 3)2 · y 7

2 Answers

4 votes
if you expand the parentheses this it can be written as
(y×y×y)(y×y×y) ×y^7
This shows since they are all being multiplied that you can add the exponents when they are expanded and still equal the same.. this is the same as multiplying the 3 and 2 exponents together in the original problem
y^6×y^7 do the same to these exponents add them together
y^13
User Joshua Sullivan
by
8.9k points
4 votes
If you mean:

(y^3)^2*y^7

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

y^6*y^7

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

y^13
User Pavel Anikhouski
by
8.2k points

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