1Cademy - Multiplying $$(\frac{2}{5}a^4b^3)(15ab^3)$$

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Multiplying Monomials

Example

Multiplying $(\frac{2}{5}a^4b^3)(15ab^3)$

Multiply the two multi-variable monomials $(\frac{2}{5}a^4b^3)(15ab^3)$ .

Step 1 — Rearrange using the Commutative Property. Group the numerical coefficients together and match up the like variable bases:

$\frac{2}{5} \cdot 15 \cdot a^4 \cdot a \cdot b^3 \cdot b^3$

Step 2 — Multiply coefficients and apply the Product Property. Multiply the numbers to get $\frac{2}{5} \cdot 15 = 6$ . Add the exponents for each variable base: $a^{4+1} = a^5$ and $b^{3+3} = b^6$ .

The resulting product is $6a^5b^6$ .

Updated 2026-04-29

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OpenStax Intermediate Algebra

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Intermediate Algebra @ OpenStax

Ch.5 Polynomials and Polynomial Functions - Intermediate Algebra @ OpenStax

Algebra

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