What is the simplest form of the product?
SqRt 63x^5y^3 • sqRt 14xy8
Answer (3)
63 x 5 y 3 ⋅ 14 x y 8 = = 63 x 5 y 3 ⋅ 14 x y 8 = 882 x 5 + 1 y 3 y 8 = = 441 ⋅ 2 ⋅ x 6 y 3 y 8 = = 441 ⋅ y 8 ⋅ x 6 ⋅ 2 y 3 = = 21 ⋅ ( y 8 ) 2 1 ⋅ ( x 6 ) 2 1 ∗ 2 y 3 = 21 ⋅ x 3 ⋅ y 4 ⋅ 2 y 3
63 x 5 y 3 ⋅ 14 x y 8 = 63 x 5 y 3 ⋅ 14 x y 8 = 63 ⋅ 14 ⋅ x 5 + 1 y 3 + 8 = 9 ⋅ 7 ⋅ 7 ⋅ 2 ⋅ x 6 y 11 = 9 ⋅ 7 2 ⋅ 2 ⋅ x 6 ⋅ y 11 = 3 ⋅ 7 ⋅ 2 ⋅ ( x 3 ) 2 ⋅ y 10 ⋅ y = 21 2 ⋅ x 3 ⋅ ( y 5 ) 2 ⋅ y = 21 x 3 y 5 2 y
To simplify the expression 63 x 5 y 3 ⋅ 14 x y 8 , we combine the square roots and simplify the coefficients and exponents. The final result is 21 x 3 y 6 2 y .
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