Algebra Examples

$5 {(8 r^{4} p^{2} q)}^{0}$

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 $8 r^{4} p^{2} q$ .

$5 ({(8 r^{4} p^{2})}^{0} q^{0})$

Step 1.2

Apply the product rule to $8 r^{4} p^{2}$ .

$5 ({(8 r^{4})}^{0} {(p^{2})}^{0} q^{0})$

Step 1.3

Apply the product rule to $8 r^{4}$ .

$5 (8^{0} {(r^{4})}^{0} {(p^{2})}^{0} q^{0})$

Step 2

Anything raised to $0$ is $1$ .

$5 (1 {(r^{4})}^{0} {(p^{2})}^{0} q^{0})$

Step 3

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

$5 ({(r^{4})}^{0} {(p^{2})}^{0} q^{0})$

Step 4

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

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Step 4.1

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

$5 (r^{4 \cdot 0} {(p^{2})}^{0} q^{0})$

Step 4.2

Multiply $4$ by $0$ .

$5 (r^{0} {(p^{2})}^{0} q^{0})$

Step 5

Anything raised to $0$ is $1$ .

$5 (1 {(p^{2})}^{0} q^{0})$

Step 6

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

$5 ({(p^{2})}^{0} q^{0})$

Step 7

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

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Step 7.1

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

$5 (p^{2 \cdot 0} q^{0})$

Step 7.2

Multiply $2$ by $0$ .

$5 (p^{0} q^{0})$

Step 8

Anything raised to $0$ is $1$ .

$5 (1 q^{0})$

Step 9

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

$5 q^{0}$

Step 10

Anything raised to $0$ is $1$ .

$5 \cdot 1$

Step 11

Multiply $5$ by $1$ .

$5$