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22 votes
22 votes
Find the product
(7x^2y^3)(3x^5y^8)

User Scriddie
by
2.8k points

2 Answers

12 votes
12 votes

Explanation:

First, we put the expressions in multiplication form:

(7x2y3)×(3x5y8)(7x2y3)×(3x5y8)

We multiply like terms:

(7x2×3x5)(y3×y8)(7x2×3x5)(y3×y8)

We multiply the coefficients and add the exponents:

21x2+5y3+821x2+5y3+8

Solving, we obtain:

21x7y11

User Hrabosch
by
2.4k points
23 votes
23 votes

Hello!


\large\boxed{21x^7y^(11)}}

(7x²y³)(3x⁵y⁸)

Multiply by ADDING exponents with the same base:

(7 * 3) (x² * x⁵) (y³ * y⁸)

21 * x² ⁺ ⁵ * y³ ⁺ ⁸

Simplify:

21 * x⁷ * y¹¹

21x⁷y¹¹

User AMC
by
3.3k points