Basic Math Examples

$5^{3} - \sqrt{16} \cdot (2^{4} + (6^{2} - 6^{0}) \div 7)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Raise $5$ to the power of $3$ .

$125 - \sqrt{16} \cdot (2^{4} + (6^{2} - 6^{0}) \div 7)$

Step 1.2

Rewrite $16$ as $4^{2}$ .

$125 - \sqrt{4^{2}} \cdot (2^{4} + (6^{2} - 6^{0}) \div 7)$

Step 1.3

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

$125 - 1 \cdot 4 \cdot (2^{4} + (6^{2} - 6^{0}) \div 7)$

Step 1.4

Multiply $- 1$ by $4$ .

$125 - 4 \cdot (2^{4} + (6^{2} - 6^{0}) \div 7)$

Step 1.5

Simplify each term.

Tap for more steps...

Step 1.5.1

Raise $2$ to the power of $4$ .

$125 - 4 \cdot (16 + (6^{2} - 6^{0}) \div 7)$

Step 1.5.2

Rewrite the division as a fraction.

$125 - 4 \cdot (16 + \frac{6^{2} - 6^{0}}{7})$

Step 1.5.3

Simplify the numerator.

Tap for more steps...

Step 1.5.3.1

Raise $6$ to the power of $2$ .

$125 - 4 \cdot (16 + \frac{36 - 6^{0}}{7})$

Step 1.5.3.2

Anything raised to $0$ is $1$ .

$125 - 4 \cdot (16 + \frac{36 - 1 \cdot 1}{7})$

Step 1.5.3.3

Multiply $- 1$ by $1$ .

$125 - 4 \cdot (16 + \frac{36 - 1}{7})$

Step 1.5.3.4

Subtract $1$ from $36$ .

$125 - 4 \cdot (16 + \frac{35}{7})$

Step 1.5.4

Divide $35$ by $7$ .

$125 - 4 \cdot (16 + 5)$

Step 1.6

Add $16$ and $5$ .

$125 - 4 \cdot 21$

Step 1.7

Multiply $- 4$ by $21$ .

$125 - 84$

Step 2

Subtract $84$ from $125$ .

$41$