Simplify (24x^5y^-3)^0

${(24 x^{5} y^{- 3})}^{0}$

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

${(24 x^{5} \frac{1}{y^{3}})}^{0}$

Multiply $24 x^{5} \frac{1}{y^{3}}$ .

Combine $24$ and $\frac{1}{y^{3}}$ .

${(x^{5} \frac{24}{y^{3}})}^{0}$

Combine $x^{5}$ and $\frac{24}{y^{3}}$ .

${(\frac{x^{5} \cdot 24}{y^{3}})}^{0}$

Move $24$ to the left of $x^{5}$ .

${(\frac{24 \cdot x^{5}}{y^{3}})}^{0}$

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

Apply the product rule to $\frac{24 x^{5}}{y^{3}}$ .

$\frac{{(24 x^{5})}^{0}}{{(y^{3})}^{0}}$

Apply the product rule to $24 x^{5}$ .

$\frac{24^{0} {(x^{5})}^{0}}{{(y^{3})}^{0}}$

Simplify the numerator.

Anything raised to $0$ is $1$ .

$\frac{1 {(x^{5})}^{0}}{{(y^{3})}^{0}}$

Multiply the exponents in ${(x^{5})}^{0}$ .

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

$\frac{1 x^{5 \cdot 0}}{{(y^{3})}^{0}}$

Multiply $5$ by $0$ .

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

Anything raised to $0$ is $1$ .

$\frac{1 \cdot 1}{{(y^{3})}^{0}}$

Multiply $1$ by $1$ .

$\frac{1}{{(y^{3})}^{0}}$

Simplify the denominator.

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

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

$\frac{1}{y^{3 \cdot 0}}$

Multiply $3$ by $0$ .

$\frac{1}{y^{0}}$

Anything raised to $0$ is $1$ .

$\frac{1}{1}$

Divide $1$ by $1$ .

$1$