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Enter the correct answer in the box. If z>0, what is the quotient of 20 square root of z^6 • square root of 16x^7 in simplest radical form? If necessary, rationalize the denominator

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Adioabiolaid

The correct answer which represents the quotient of 20√z⁶ ÷ √16z⁷ in simplest radical form is; (5√z)/z.

What is the quotient of the expression in its simplest radical form?

The quotient given can be evaluated by means of the laws of indices as follows;

20√z⁶ ÷ √16z⁷

= 20√z⁶ ÷ 4√z⁷

= 5 √(z⁶/z⁷)

= 5 √z^(-1)

= 5 × z^(-1/2)

= 5/√z

Hence, by rationalisation; we have;

= (5√z)/z.

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