Algebra Examples

$- {(5 c)}^{0} + 7^{1} - 2^{2}$

Step 1

Simplify each term.

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Step 1.1

Apply the product rule to $5 c$ .

$- (5^{0} c^{0}) + 7^{1} - 2^{2}$

Step 1.2

Anything raised to $0$ is $1$ .

$- (1 c^{0}) + 7^{1} - 2^{2}$

Step 1.3

Multiply $c^{0}$ by $1$ .

$- c^{0} + 7^{1} - 2^{2}$

Step 1.4

Anything raised to $0$ is $1$ .

$- 1 \cdot 1 + 7^{1} - 2^{2}$

Step 1.5

Multiply $- 1$ by $1$ .

$- 1 + 7^{1} - 2^{2}$

Step 1.6

Evaluate the exponent.

$- 1 + 7 - 2^{2}$

Step 1.7

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

$- 1 + 7 - 1 \cdot 4$

Step 1.8

Multiply $- 1$ by $4$ .

$- 1 + 7 - 4$

$- 1 + 7 - 4$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Add $- 1$ and $7$ .

$6 - 4$

Step 2.2

Subtract $4$ from $6$ .

$2$

$2$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$