Solve for t A(t)=2400(1/2)^(t/14)

$A (t) = 2400 {(\frac{1}{2})}^{\frac{t}{14}}$

Simplify $2400 {(\frac{1}{2})}^{\frac{t}{14}}$ .

Simplify the expression.

Apply the product rule to $\frac{1}{2}$ .

$A t = 2400 \frac{1^{\frac{t}{14}}}{2^{\frac{t}{14}}}$

One to any power is one.

$A t = 2400 \frac{1}{2^{\frac{t}{14}}}$

Combine $2400$ and $\frac{1}{2^{\frac{t}{14}}}$ .

$A t = \frac{2400}{2^{\frac{t}{14}}}$

Subtract $\frac{2400}{2^{\frac{t}{14}}}$ from both sides of the equation.

$A t - \frac{2400}{2^{\frac{t}{14}}} = 0$