Basic Math Examples

${(4 \cdot (2 y^{7} z^{3}))}^{0}$

Step 1

Multiply $2$ by $4$ .

${(8 (y^{7} z^{3}))}^{0}$

Step 2

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

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Step 2.1

Apply the product rule to $8 y^{7} z^{3}$ .

${(8 y^{7})}^{0} {(z^{3})}^{0}$

Step 2.2

Apply the product rule to $8 y^{7}$ .

$8^{0} {(y^{7})}^{0} {(z^{3})}^{0}$

Step 3

Anything raised to $0$ is $1$ .

$1 {(y^{7})}^{0} {(z^{3})}^{0}$

Step 4

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

${(y^{7})}^{0} {(z^{3})}^{0}$

Step 5

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

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Step 5.1

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

$y^{7 \cdot 0} {(z^{3})}^{0}$

Step 5.2

Multiply $7$ by $0$ .

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

Step 6

Anything raised to $0$ is $1$ .

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

Step 7

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

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

Step 8

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

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Step 8.1

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

$z^{3 \cdot 0}$

Step 8.2

Multiply $3$ by $0$ .

$z^{0}$

Step 9

Anything raised to $0$ is $1$ .

$1$