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(B) 3
C. 8
D. 10
12. If
3^(x)×5^(y)=225, what is
xy ?
B. 4
F. 9
G. 15
H. 25

(B) $3$ $\newline$ C. $8$ $\newline$ D. $10$ $\newline$ $12$ . If $3^{x} \times 5^{y}=225$ , what is $x y$ ? $\newline$ B. $4$ $\newline$ F. $9$ $\newline$ G. $15$ $\newline$ H. $25$

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Multiply and divide positive and negative decimals

Full solution

Q. (B)

3

\newline

C.

8

\newline

D.

10

\newline

12

. If

3^{x} \times 5^{y}=225

, what is

x y

?

\newline

B.

4

\newline

F.

9

\newline

G.

15

\newline

H.

25

Factor $225$ : First, let's factor $225$ into its prime factors. $\newline$ $225 = 3^2 \times 5^2$
Compare Prime Factors: Now, we can compare the prime factors to the equation $3^{x}\times5^{y}$ . So, $x$ must be $2$ and $y$ must be $2$ because $3^2 \times 5^2 = 225$ .
Multiply $x$ and $y$ : Next, we multiply $x$ and $y$ to find $xy$ . $xy = 2 \times 2$

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