Simplify 8w^5(7w^4-4)

$8 w^{5} (7 w^{4} - 4)$

Simplify by multiplying through.

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Apply the distributive property.

$8 w^{5} (7 w^{4}) + 8 w^{5} \cdot - 4$

Simplify the expression.

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Rewrite using the commutative property of multiplication.

$8 \cdot 7 (w^{5} w^{4}) + 8 w^{5} \cdot - 4$

Multiply $- 4$ by $8$ .

$8 \cdot 7 (w^{5} w^{4}) - 32 w^{5}$

Simplify each term.

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Multiply $w^{5}$ by $w^{4}$ by adding the exponents.

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

$8 \cdot 7 w^{5 + 4} - 32 w^{5}$

Add $5$ and $4$ .

$8 \cdot 7 w^{9} - 32 w^{5}$

Multiply $8$ by $7$ .

$56 w^{9} - 32 w^{5}$

Simplify 8w^5(7w^4-4)

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