Simplify ( √ 5)(^3 √ 5) the answer will be a wholenumber and a fraction ( \sqrt{5)( \sqrt[3]{5} } ) ​

Question

Simplify ( √ 5)(^3 √ 5) the answer will be a wholenumber and a fraction


`( \sqrt{5)( \sqrt[3]{5} } )`
​

Answer 1

`√(5)\cdot\sqrt[3]{5} =\sqrt[6]{5^3} \cdot\sqrt[6]{5^2} =\sqrt[6]{5^5} =5^((5/6))`

Explanation:

The rules of exponents apply, even when they are fractional exponents:

`a^b\cdot a^c=a^(b+c)\\\\\sqrt[b]{x^a}=x^((a/b))`