Simplify ((x^3)/(x^0))^0

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

Move $x^{0}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

${(x^{3} x^{0})}^{0}$

Multiply $x^{3}$ by $x^{0}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Add $3$ and $0$ .

${(x^{3})}^{0}$

Multiply the exponents in ${(x^{3})}^{0}$ .

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

$x^{3 \cdot 0}$

Multiply $3$ by $0$ .

$x^{0}$

Anything raised to $0$ is $1$ .

$1$