Basic Math Examples

$11^{2} - \sqrt{100} + 5^{4} \cdot {(9 \div 3)}^{0} + {(15 - 40 \div 8)}^{3} + 210$

Step 1

Simplify each term.

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Step 1.1

Raise $11$ to the power of $2$ .

$121 - \sqrt{100} + 5^{4} \cdot {(9 \div 3)}^{0} + {(15 - 40 \div 8)}^{3} + 210$

Step 1.2

Rewrite $100$ as $10^{2}$ .

$121 - \sqrt{10^{2}} + 5^{4} \cdot {(9 \div 3)}^{0} + {(15 - 40 \div 8)}^{3} + 210$

Step 1.3

Pull terms out from under the radical, assuming positive real numbers.

$121 - 1 \cdot 10 + 5^{4} \cdot {(9 \div 3)}^{0} + {(15 - 40 \div 8)}^{3} + 210$

Step 1.4

Multiply $- 1$ by $10$ .

$121 - 10 + 5^{4} \cdot {(9 \div 3)}^{0} + {(15 - 40 \div 8)}^{3} + 210$

Step 1.5

Raise $5$ to the power of $4$ .

$121 - 10 + 625 \cdot {(9 \div 3)}^{0} + {(15 - 40 \div 8)}^{3} + 210$

Step 1.6

Divide $9$ by $3$ .

$121 - 10 + 625 \cdot 3^{0} + {(15 - 40 \div 8)}^{3} + 210$

Step 1.7

Anything raised to $0$ is $1$ .

$121 - 10 + 625 \cdot 1 + {(15 - 40 \div 8)}^{3} + 210$

Step 1.8

Multiply $625$ by $1$ .

$121 - 10 + 625 + {(15 - 40 \div 8)}^{3} + 210$

Step 1.9

Simplify each term.

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Step 1.9.1

Divide $40$ by $8$ .

$121 - 10 + 625 + {(15 - 1 \cdot 5)}^{3} + 210$

Step 1.9.2

Multiply $- 1$ by $5$ .

$121 - 10 + 625 + {(15 - 5)}^{3} + 210$

Step 1.10

Subtract $5$ from $15$ .

$121 - 10 + 625 + 10^{3} + 210$

Step 1.11

Raise $10$ to the power of $3$ .

$121 - 10 + 625 + 1000 + 210$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Subtract $10$ from $121$ .

$111 + 625 + 1000 + 210$

Step 2.2

Add $111$ and $625$ .

$736 + 1000 + 210$

Step 2.3

Add $736$ and $1000$ .

$1736 + 210$

Step 2.4

Add $1736$ and $210$ .

$1946$