Algebra Examples

$3^{0} - 4 x^{0} + {(- 2 x^{2})}^{0}$

Step 1

Simplify each term.

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Step 1.1

Anything raised to $0$ is $1$ .

$1 - 4 x^{0} + {(- 2 x^{2})}^{0}$

Step 1.2

Anything raised to $0$ is $1$ .

$1 - 4 \cdot 1 + {(- 2 x^{2})}^{0}$

Step 1.3

Multiply $- 4$ by $1$ .

$1 - 4 + {(- 2 x^{2})}^{0}$

Step 1.4

Apply the product rule to $- 2 x^{2}$ .

$1 - 4 + {(- 2)}^{0} {(x^{2})}^{0}$

Step 1.5

Anything raised to $0$ is $1$ .

$1 - 4 + 1 {(x^{2})}^{0}$

Step 1.6

Multiply ${(x^{2})}^{0}$ by $1$ .

$1 - 4 + {(x^{2})}^{0}$

Step 1.7

Multiply the exponents in ${(x^{2})}^{0}$ .

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Step 1.7.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$1 - 4 + x^{2 \cdot 0}$

Step 1.7.2

Multiply $2$ by $0$ .

$1 - 4 + x^{0}$

$1 - 4 + x^{0}$

Step 1.8

Anything raised to $0$ is $1$ .

$1 - 4 + 1$

$1 - 4 + 1$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Subtract $4$ from $1$ .

$- 3 + 1$

Step 2.2

Add $- 3$ and $1$ .

$- 2$

$- 2$

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