Simplify 9w^5(3-10w^3)

$9 w^{5} (3 - 10 w^{3})$

Simplify by multiplying through.

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Apply the distributive property.

$9 w^{5} \cdot 3 + 9 w^{5} (- 10 w^{3})$

Simplify the expression.

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Multiply $3$ by $9$ .

$27 w^{5} + 9 w^{5} (- 10 w^{3})$

Rewrite using the commutative property of multiplication.

$27 w^{5} + 9 \cdot - 10 (w^{5} w^{3})$

Simplify each term.

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Multiply $w^{5}$ by $w^{3}$ by adding the exponents.

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

$27 w^{5} + 9 \cdot - 10 w^{5 + 3}$

Add $5$ and $3$ .

$27 w^{5} + 9 \cdot - 10 w^{8}$

Multiply $9$ by $- 10$ .

$27 w^{5} - 90 w^{8}$

Simplify 9w^5(3-10w^3)

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