Divide $$ \frac{\sqrt[3]{7^{2}}}{\sqrt{7}} $$ using fractional exponents

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Calculate or simplify the expression $$ \frac{\sqrt[3]{7^{2}}}{\sqrt{7}} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{\sqrt[3]{7^{2}}}{\sqrt{7}}$$
- step1: Evaluate the root:
  $$\frac{\sqrt[3]{49}}{\sqrt{7}}$$
- step2: Multiply by the Conjugate:
  $$\frac{\sqrt[3]{49}	imes \sqrt{7}}{\sqrt{7}	imes \sqrt{7}}$$
- step3: Multiply the numbers:
  $$\frac{7\sqrt[6]{7}}{\sqrt{7}	imes \sqrt{7}}$$
- step4: Multiply the numbers:
  $$\frac{7\sqrt[6]{7}}{7}$$
- step5: Reduce the fraction:
  $$\sqrt[6]{7}$$
The result of dividing $$ \frac{\sqrt[3]{7^{2}}}{\sqrt{7}} $$ using fractional exponents is $$ \sqrt[6]{7} $$.
The result is $$ \sqrt[6]{7} $$.

Divide using fractional exponents

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