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Select all the expressions that are equivalent to (5xy3)(3xy3)

Question

Select all the expressions that are equivalent to (5xy3)(3xy3)

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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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