Algebra Examples

${(8 m n^{3})}^{0}$

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 $8 m n^{3}$ .

${(8 m)}^{0} {(n^{3})}^{0}$

Step 1.2

Apply the product rule to $8 m$ .

$8^{0} m^{0} {(n^{3})}^{0}$

Step 2

Anything raised to $0$ is $1$ .

$1 m^{0} {(n^{3})}^{0}$

Step 3

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

$m^{0} {(n^{3})}^{0}$

Step 4

Anything raised to $0$ is $1$ .

$1 {(n^{3})}^{0}$

Step 5

Multiply ${(n^{3})}^{0}$ by $1$ .

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

Step 6

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

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Step 6.1

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

$n^{3 \cdot 0}$

Step 6.2

Multiply $3$ by $0$ .

$n^{0}$

Step 7

Anything raised to $0$ is $1$ .

$1$