Algebra Examples

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

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Rewrite using the commutative property of multiplication.

$- 2 y^{8} y^{2}$

Step 3

Multiply $y^{8}$ by $y^{2}$ by adding the exponents.

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Step 3.1

Move $y^{2}$ .

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

Step 3.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$- 2 y^{2 + 8}$

Step 3.3

Add $2$ and $8$ .

$- 2 y^{10}$