Select all the expressions that are equivalent to (5xy3)(3xy3)
Question
Select all the expressions that are equivalent to (5xy3)(3xy3)
Solution
The expression (5xy^3)(3xy^3) can be simplified by multiplying the coefficients (the numbers) and adding the exponents of the like terms (the variables).
Step 1: Multiply the coefficients 5 * 3 = 15
Step 2: Multiply the variables Since the bases (x and y) are the same, you add the exponents. x^1 * x^1 = x^(1+1) = x^2 y^3 * y^3 = y^(3+3) = y^6
So, the equivalent expression is 15x^2y^6.
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