Simplify (-(3xy^4z^2)/(x^3yz^4))^0

${(- \frac{3 x y^{4} z^{2}}{x^{3} y z^{4}})}^{0}$

Cancel the common factor of $x$ and $x^{3}$ .

Factor $x$ out of $3 x y^{4} z^{2}$ .

${(- \frac{x (3 y^{4} z^{2})}{x^{3} y z^{4}})}^{0}$

Cancel the common factors.

Factor $x$ out of $x^{3} y z^{4}$ .

${(- \frac{x (3 y^{4} z^{2})}{x (x^{2} y z^{4})})}^{0}$

Cancel the common factor.

${(- \frac{x (3 y^{4} z^{2})}{x (x^{2} y z^{4})})}^{0}$

Rewrite the expression.

${(- \frac{3 y^{4} z^{2}}{x^{2} y z^{4}})}^{0}$

Cancel the common factor of $y^{4}$ and $y$ .

Factor $y$ out of $3 y^{4} z^{2}$ .

${(- \frac{y (3 y^{3} z^{2})}{x^{2} y z^{4}})}^{0}$

Cancel the common factors.

Factor $y$ out of $x^{2} y z^{4}$ .

${(- \frac{y (3 y^{3} z^{2})}{y (x^{2} z^{4})})}^{0}$

Cancel the common factor.

${(- \frac{y (3 y^{3} z^{2})}{y (x^{2} z^{4})})}^{0}$

Rewrite the expression.

${(- \frac{3 y^{3} z^{2}}{x^{2} z^{4}})}^{0}$

Cancel the common factor of $z^{2}$ and $z^{4}$ .

Factor $z^{2}$ out of $3 y^{3} z^{2}$ .

${(- \frac{z^{2} (3 y^{3})}{x^{2} z^{4}})}^{0}$

Cancel the common factors.

Factor $z^{2}$ out of $x^{2} z^{4}$ .

${(- \frac{z^{2} (3 y^{3})}{z^{2} (x^{2} z^{2})})}^{0}$

Cancel the common factor.

${(- \frac{z^{2} (3 y^{3})}{z^{2} (x^{2} z^{2})})}^{0}$

Rewrite the expression.

${(- \frac{3 y^{3}}{x^{2} z^{2}})}^{0}$

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

Apply the product rule to $- \frac{3 y^{3}}{x^{2} z^{2}}$ .

${(- 1)}^{0} {(\frac{3 y^{3}}{x^{2} z^{2}})}^{0}$

Apply the product rule to $\frac{3 y^{3}}{x^{2} z^{2}}$ .

${(- 1)}^{0} \frac{{(3 y^{3})}^{0}}{{(x^{2} z^{2})}^{0}}$

Apply the product rule to $3 y^{3}$ .

${(- 1)}^{0} \frac{3^{0} {(y^{3})}^{0}}{{(x^{2} z^{2})}^{0}}$

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

${(- 1)}^{0} \frac{3^{0} {(y^{3})}^{0}}{{(x^{2})}^{0} {(z^{2})}^{0}}$

Simplify the expression.

Anything raised to $0$ is $1$ .

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

Multiply $\frac{3^{0} {(y^{3})}^{0}}{{(x^{2})}^{0} {(z^{2})}^{0}}$ by $1$ .

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

Simplify the numerator.

Anything raised to $0$ is $1$ .

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

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

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

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

Multiply $3$ by $0$ .

$\frac{1 y^{0}}{{(x^{2})}^{0} {(z^{2})}^{0}}$

Anything raised to $0$ is $1$ .

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

Multiply $1$ by $1$ .

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

Simplify the denominator.

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

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

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

Multiply $2$ by $0$ .

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

Anything raised to $0$ is $1$ .

$\frac{1}{1 {(z^{2})}^{0}}$

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

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

$\frac{1}{1 z^{2 \cdot 0}}$

Multiply $2$ by $0$ .

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

Anything raised to $0$ is $1$ .

$\frac{1}{1 \cdot 1}$

Multiply $1$ by $1$ .

$\frac{1}{1}$

Divide $1$ by $1$ .

$1$

Simplify (-(3xy^4z^2)/(x^3yz^4))^0

Related Questions

Support LCMGCF.com by disabling your adblocker.