### Home > CCA2 > Chapter Ch5 > Lesson 5.2.5 > Problem5-117

5-117.

Gary has his function $g(x)=10^x$ and Amy has her function $a(m)=10^m$.

1. Each person is going to choose a whole number at random from the numbers $1,2,3\dots10$, and substitute it into his or her respective function. After they do this, what is the probability that $g(x)=a(m)$?

Notice that $g(x)$ and $a(m)$ are equivalent functions, what is the probability that Gary and Amy pick the same number?

Assume Gary has chosen a number. How many chances does Amy have to pick the same number?
Out of how many choices?

2. Find and simplify an expression for $g(x)·a(m)$.

Remember the exponent rules.

$10^{x+m}$