Simplify (2x^-2)^0+(3x^2)^0

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

Step 1

Simplify each term.

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

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

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

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

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

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

Anything raised to $0$ is $1$ .

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

Simplify the denominator.

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

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

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

Multiply $2$ by $0$ .

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

Anything raised to $0$ is $1$ .

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

Divide $1$ by $1$ .

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

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

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

Anything raised to $0$ is $1$ .

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

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

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

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

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

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

Multiply $2$ by $0$ .

$1 + x^{0}$

Anything raised to $0$ is $1$ .

$1 + 1$

Step 2

Add $1$ and $1$ .

$2$