Algebra Examples

$f (80) = 1000 {(0.5)}^{\frac{80}{30}}$

Step 1

Cancel the common factor of $80$ and $30$ .

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Step 1.1

Factor $10$ out of $80$ .

$f (80) = 1000 \cdot {0.5}^{\frac{10 (8)}{30}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $10$ out of $30$ .

$f (80) = 1000 \cdot {0.5}^{\frac{10 \cdot 8}{10 \cdot 3}}$

Step 1.2.2

Cancel the common factor.

$f (80) = 1000 \cdot {0.5}^{\frac{10 \cdot 8}{10 \cdot 3}}$

Step 1.2.3

Rewrite the expression.

$f (80) = 1000 \cdot {0.5}^{\frac{8}{3}}$

Step 2

Simplify the expression.

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Step 2.1

Raise $0.5$ to the power of $\frac{8}{3}$ .

$f (80) = 1000 \cdot 0.15749013$

Step 2.2

Multiply $1000$ by $0.15749013$ .

$f (80) = 157.49013123$