Finite Math Examples

$29500 {(1 + 0.045)}^{\frac{5}{2}}$

Step 1

Simplify the expression.

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Step 1.1

Add $1$ and $0.045$ .

$29500 \cdot {1.045}^{\frac{5}{2}}$

Step 1.2

Rewrite $1.045$ as ${1.02225241}^{2}$ .

$29500 \cdot {({1.02225241}^{2})}^{\frac{5}{2}}$

Step 1.3

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$29500 \cdot {1.02225241}^{2 (\frac{5}{2})}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Cancel the common factor.

$29500 \cdot {1.02225241}^{2 (\frac{5}{2})}$

Step 2.2

Rewrite the expression.

$29500 \cdot {1.02225241}^{5}$

Step 3

Simplify the expression.

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Step 3.1

Raise $1.02225241$ to the power of $5$ .

$29500 \cdot 1.11632519$

Step 3.2

Multiply $29500$ by $1.11632519$ .

$32931.59320838$