Question

Find the product.

(y^5)^3 · y^9

A. y^24
B. y^17
C. y^60
D. y^42

Answer 1

\[(b^n)^m=b^{mn}\]
\[\large b^{mn}*b^p=b^{mn+p}\]

Answer 2

*patent pending :)

Answer 3

What is (y^5)^3?

Answer 4

I wish I knew!

Answer 5

(y^5)^3 = y^(5*3) = ???

Answer 6

When you have an exponential expression raised to another exponent, you multiply the exponents

Answer 7

So what is y^(5*3)

Answer 8

y^(5*3) = y^15

so

(y^5)^3 · y^9

y^15 · y^9

Now add the exponents to multiply these expressions


y^(15+9) = y^24


So (y^5)^3 · y^9 = y^24