Solve for a y=a(b)^x

$y = a {(b)}^{x}$

Rewrite the equation as $a b^{x} = y$ .

$a b^{x} = y$

Divide each term in $a b^{x} = y$ by $b^{x}$ and simplify.

Divide each term in $a b^{x} = y$ by $b^{x}$ .

$\frac{a b^{x}}{b^{x}} = \frac{y}{b^{x}}$

Simplify the left side.

Cancel the common factor of $b^{x}$ .

Cancel the common factor.

$\frac{a b^{x}}{b^{x}} = \frac{y}{b^{x}}$

Divide $a$ by $1$ .

$a = \frac{y}{b^{x}}$