Basic Math Examples

${(3 z y)}^{0} = 1$

Step 1

Simplify

${(3 z y)}^{0}$ .

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Step 1.1

Use the power rule

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

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Step 1.1.1

Apply the product rule to

$3 z y$ .

${(3 z)}^{0} y^{0} = 1$

Step 1.1.2

Apply the product rule to

$3 z$ .

$3^{0} z^{0} y^{0} = 1$

Step 1.2

Anything raised to

$0$ is

$1$ .

$1 z^{0} y^{0} = 1$

Step 1.3

Multiply

$z^{0}$ by

$1$ .

$z^{0} y^{0} = 1$

Step 1.4

Anything raised to

$0$ is

$1$ .

$1 y^{0} = 1$

Step 1.5

Multiply

$y^{0}$ by

$1$ .

$y^{0} = 1$

Step 1.6

Anything raised to

$0$ is

$1$ .

$1 = 1$

Step 2

Since

$1 = 1$ , the equation will always be true.

Always true

Step 3

The result can be shown in multiple forms.

Always true

Interval Notation:

$(- \infty, \infty)$