Question

I need help with this problem #48
http://my.hrw.com/math12/na_cc/hsm_larson/student/bookjpegs/alg1/alg1_cc_na_lar_12_0445.jpg

Answer 1

@Ineedhelpfast12 whts the value of
\[a^x \times a^y \]

Answer 2

that's what I am trying to figure out

Answer 3

\[a^x \times a^y = a^{x+y}\]

Answer 4

$$ \Large \frac{b^x}{b^y}= b^9 \implies b^{x-y} = b^9
\\ ~\\ \Large \frac{b^x \cdot b^2 }{b^{3y}}= b^{13} \implies b^{x+2 - 3y} = b^{13}
$$

Answer 5

to preserve equality, since their bases are equal, their exponents must be equal.

So we need to solve
x-y = 9
x+2 -3y = 13