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12 April, 05:22

Simplify the expression "the square root of x^10 times the square root of x^4" completely. A. the square root of x^14 B. 2 times the square root of x^10 C. 3 times the square root of x^5 D. x^7

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  1. 12 April, 08:10
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    Using the rule that √a times √b = √ (a times b)

    √ (x^10) times √ (x^4) = √ (x^10 times x^4)

    using the rule that x^a times x^b = x^ (a+b)

    √ (x^10 times x^4) = √x^ (10 + 4) = √x^14

    to cancel out √ with ^14, divide the number 14 by 2 (if it is ∛ then you would divide 14 by 3, and so on, but in this case it is the square root)

    √x^14 = x^ (14/2) = x^7

    so the answer is D. x^7
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