Basic Math Examples

${(6 m^{4} y z^{2})}^{0}$

Step 1

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

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Step 1.1

Apply the product rule to $6 m^{4} y z^{2}$ .

${(6 m^{4} y)}^{0} {(z^{2})}^{0}$

Step 1.2

Apply the product rule to $6 m^{4} y$ .

${(6 m^{4})}^{0} y^{0} {(z^{2})}^{0}$

Step 1.3

Apply the product rule to $6 m^{4}$ .

$6^{0} {(m^{4})}^{0} y^{0} {(z^{2})}^{0}$

Step 2

Anything raised to $0$ is $1$ .

$1 {(m^{4})}^{0} y^{0} {(z^{2})}^{0}$

Step 3

Multiply ${(m^{4})}^{0}$ by $1$ .

${(m^{4})}^{0} y^{0} {(z^{2})}^{0}$

Step 4

Multiply the exponents in ${(m^{4})}^{0}$ .

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Step 4.1

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

$m^{4 \cdot 0} y^{0} {(z^{2})}^{0}$

Step 4.2

Multiply $4$ by $0$ .

$m^{0} y^{0} {(z^{2})}^{0}$

Step 5

Anything raised to $0$ is $1$ .

$1 y^{0} {(z^{2})}^{0}$

Step 6

Multiply $y^{0}$ by $1$ .

$y^{0} {(z^{2})}^{0}$

Step 7

Anything raised to $0$ is $1$ .

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

Step 8

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

${(z^{2})}^{0}$

Step 9

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

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Step 9.1

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

$z^{2 \cdot 0}$

Step 9.2

Multiply $2$ by $0$ .

$z^{0}$

Step 10

Anything raised to $0$ is $1$ .

$1$