Solve for A A(10)=100(3)^(-0.5t)

$A (10) = 100 {(3)}^{- 0.5 t}$

Divide each term in $A (10) = 100 {(3)}^{- 0.5 t}$ by $10$ .

$\frac{A (10)}{10} = \frac{100 {(3)}^{- 0.5 t}}{10}$

Cancel the common factor of $10$ .

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Cancel the common factor.

$\frac{A \cdot 10}{10} = \frac{100 {(3)}^{- 0.5 t}}{10}$

Divide $A$ by $1$ .

$A = \frac{100 {(3)}^{- 0.5 t}}{10}$

Cancel the common factor of $100$ and $10$ .

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Factor $10$ out of $100 {(3)}^{- 0.5 t}$ .

$A = \frac{10 (10 {(3)}^{- 0.5 t})}{10}$

Cancel the common factors.

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Factor $10$ out of $10$ .

$A = \frac{10 (10 {(3)}^{- 0.5 t})}{10 (1)}$

Cancel the common factor.

$A = \frac{10 (10 {(3)}^{- 0.5 t})}{10 \cdot 1}$

Rewrite the expression.

$A = \frac{10 {(3)}^{- 0.5 t}}{1}$

Divide $10 {(3)}^{- 0.5 t}$ by $1$ .

$A = 10 {(3)}^{- 0.5 t}$

$A = 10 \cdot 3^{- 0.5 t}$

Solve for A A(10)=100(3)^(-0.5t)

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