To calculate: The simplification of the expression \frac{7}{\sqrt[4]{z}}

To calculate: The simplification of the expression $$\frac{7}{\sqrt[4]{z}}$$

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Step 1

Given: $$\frac{7}{\sqrt[4]{z}}$$

To simplify the expression, rationalize the denominator and simplify the radical in the denominator

So,

$$\frac{7}{\sqrt[4]{z}}=\frac{7 \times \sqrt[4]{z^3}}{\sqrt[4]{z} \times \sqrt[4]{z^3}}$$

$$=\frac{7\sqrt[4]{z^3}}{\sqrt[4]{z^4}}$$

$$=\frac{7 \sqrt[4]{z^3}}{z}$$

Hence, the simplification of the given expression is

$$\frac{7 \sqrt[4]{z^3}}{z}$$