Pre-Algebra Examples

$6 x^{0} y^{8} - {(2 y^{2})}^{4}$

Step 1

Anything raised to $0$ is $1$ .

$6 \cdot 1 y^{8} - {(2 y^{2})}^{4}$

Step 2

Multiply $6$ by $1$ .

$6 y^{8} - {(2 y^{2})}^{4}$

Step 3

Apply the product rule to $2 y^{2}$ .

$6 y^{8} - (2^{4} {(y^{2})}^{4})$

Step 4

Raise $2$ to the power of $4$ .

$6 y^{8} - (16 {(y^{2})}^{4})$

Step 5

Multiply the exponents in ${(y^{2})}^{4}$ .

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Step 5.1

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

$6 y^{8} - (16 y^{2 \cdot 4})$

Step 5.2

Multiply $2$ by $4$ .

$6 y^{8} - (16 y^{8})$

Step 6

Multiply $16$ by $- 1$ .

$6 y^{8} - 16 y^{8}$

Step 7

Subtract $16 y^{8}$ from $6 y^{8}$ .

$- 10 y^{8}$