Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

${(2 \frac{1}{x^{2}})}^{0} + {(3 x^{2})}^{0}$

Step 1.2

Combine $2$ and $\frac{1}{x^{2}}$ .

${(\frac{2}{x^{2}})}^{0} + {(3 x^{2})}^{0}$

Step 1.3

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

$\frac{2^{0}}{{(x^{2})}^{0}} + {(3 x^{2})}^{0}$

Step 1.4

Anything raised to $0$ is $1$ .

$\frac{1}{{(x^{2})}^{0}} + {(3 x^{2})}^{0}$

Step 1.5

Simplify the denominator.

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Step 1.5.1

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

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Step 1.5.1.1

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

$\frac{1}{x^{2 \cdot 0}} + {(3 x^{2})}^{0}$

Step 1.5.1.2

Multiply $2$ by $0$ .

$\frac{1}{x^{0}} + {(3 x^{2})}^{0}$

Step 1.5.2

Anything raised to $0$ is $1$ .

$\frac{1}{1} + {(3 x^{2})}^{0}$

Step 1.6

Divide $1$ by $1$ .

$1 + {(3 x^{2})}^{0}$

Step 1.7

Apply the product rule to $3 x^{2}$ .

$1 + 3^{0} {(x^{2})}^{0}$

Step 1.8

Anything raised to $0$ is $1$ .

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

Step 1.9

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

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

Step 1.10

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

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Step 1.10.1

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

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

Step 1.10.2

Multiply $2$ by $0$ .

$1 + x^{0}$

Step 1.11

Anything raised to $0$ is $1$ .

$1 + 1$

Step 2

Add $1$ and $1$ .

$2$