Simplify (9y^5-4y^2+5)*(10y^4)

$(9 y^{5} - 4 y^{2} + 5) \cdot (10 y^{4})$

Apply the distributive property.

$9 y^{5} (10 y^{4}) - 4 y^{2} (10 y^{4}) + 5 (10 y^{4})$

Simplify.

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Rewrite using the commutative property of multiplication.

$9 \cdot 10 (y^{5} y^{4}) - 4 y^{2} (10 y^{4}) + 5 (10 y^{4})$

Rewrite using the commutative property of multiplication.

$9 \cdot 10 (y^{5} y^{4}) - 4 \cdot 10 (y^{2} y^{4}) + 5 (10 y^{4})$

Multiply $10$ by $5$ .

$9 \cdot 10 (y^{5} y^{4}) - 4 \cdot 10 (y^{2} y^{4}) + 50 y^{4}$

Simplify each term.

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

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

$9 \cdot 10 y^{5 + 4} - 4 \cdot 10 (y^{2} y^{4}) + 50 y^{4}$

Add $5$ and $4$ .

$9 \cdot 10 y^{9} - 4 \cdot 10 (y^{2} y^{4}) + 50 y^{4}$

Multiply $9$ by $10$ .

$90 y^{9} - 4 \cdot 10 (y^{2} y^{4}) + 50 y^{4}$

Multiply $y^{2}$ by $y^{4}$ by adding the exponents.

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

$90 y^{9} - 4 \cdot 10 y^{2 + 4} + 50 y^{4}$

Add $2$ and $4$ .

$90 y^{9} - 4 \cdot 10 y^{6} + 50 y^{4}$

Multiply $- 4$ by $10$ .

$90 y^{9} - 40 y^{6} + 50 y^{4}$

Simplify (9y^5-4y^2+5)*(10y^4)

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