Basic Math Examples

$10^{2} - 75 \div 5^{2} \cdot 5 - 9$

Step 1

Simplify each term.

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Step 1.1

Raise $10$ to the power of $2$ .

$100 - 75 \div 5^{2} \cdot 5 - 9$

Step 1.2

Raise $5$ to the power of $2$ .

$100 - 75 \div 25 \cdot 5 - 9$

Step 1.3

Cancel the common factor of $5$ .

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Step 1.3.1

Move the leading negative in $- 75 \div 25$ into the numerator.

$100 + - 75 \div 25 \cdot 5 - 9$

Step 1.3.2

Factor $5$ out of $25$ .

$100 + - 75 \div 5 (5) \cdot 5 - 9$

Step 1.3.3

Cancel the common factor.

$100 + - 75 \div 5 \cdot 5 \cdot 5 - 9$

Step 1.3.4

Rewrite the expression.

$100 + \frac{- 75}{5} - 9$

Step 1.4

Divide $- 75$ by $5$ .

$100 - 15 - 9$

Step 2

Simplify by subtracting numbers.

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Step 2.1

Subtract $15$ from $100$ .

$85 - 9$

Step 2.2

Subtract $9$ from $85$ .

$76$