Basic Math Examples

$- \frac{1}{5} \cdot {(50)}^{2} + 20 (50)$

Step 1

Simplify each term.

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Step 1.1

Raise $50$ to the power of $2$ .

$- \frac{1}{5} \cdot 2500 + 20 (50)$

Step 1.2

Cancel the common factor of $5$ .

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Step 1.2.1

Move the leading negative in $- \frac{1}{5}$ into the numerator.

$\frac{- 1}{5} \cdot 2500 + 20 (50)$

Step 1.2.2

Factor $5$ out of $2500$ .

$\frac{- 1}{5} \cdot (5 (500)) + 20 (50)$

Step 1.2.3

Cancel the common factor.

$\frac{- 1}{5} \cdot (5 \cdot 500) + 20 (50)$

Step 1.2.4

Rewrite the expression.

$- 1 \cdot 500 + 20 (50)$

Step 1.3

Multiply $- 1$ by $500$ .

$- 500 + 20 (50)$

Step 1.4

Multiply $20$ by $50$ .

$- 500 + 1000$

Step 2

Add $- 500$ and $1000$ .

$500$