Basic Math Examples

${(- 8 a^{5} b^{7})}^{0}$

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 $- 8 a^{5} b^{7}$ .

${(- 8 a^{5})}^{0} {(b^{7})}^{0}$

Step 1.2

Apply the product rule to $- 8 a^{5}$ .

${(- 8)}^{0} {(a^{5})}^{0} {(b^{7})}^{0}$

Step 2

Anything raised to $0$ is $1$ .

$1 {(a^{5})}^{0} {(b^{7})}^{0}$

Step 3

Multiply ${(a^{5})}^{0}$ by $1$ .

${(a^{5})}^{0} {(b^{7})}^{0}$

Step 4

Multiply the exponents in ${(a^{5})}^{0}$ .

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Step 4.1

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

$a^{5 \cdot 0} {(b^{7})}^{0}$

Step 4.2

Multiply $5$ by $0$ .

$a^{0} {(b^{7})}^{0}$

Step 5

Anything raised to $0$ is $1$ .

$1 {(b^{7})}^{0}$

Step 6

Multiply ${(b^{7})}^{0}$ by $1$ .

${(b^{7})}^{0}$

Step 7

Multiply the exponents in ${(b^{7})}^{0}$ .

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Step 7.1

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

$b^{7 \cdot 0}$

Step 7.2

Multiply $7$ by $0$ .

$b^{0}$

Step 8

Anything raised to $0$ is $1$ .

$1$