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Math·Advanced Math·Nonlinear functions

hard

The function $h$ is defined by $h(x)=a^x+b$, where $a$ and $b$ are positive constants. The graph of $y=h(x)$ in the xy-plane passes through the points $(0,10)$ and $(2,13)$. What is the value of $ab$?

A

$13$

B

$18$

C

$20$

D

$26$