Question

Simplify the following:
⁵√16 * ⁵√2

Answer 1

Simplify the following:

⁵√16 * ⁵√2

lets answer is 2

Answer 2

We can solve the given expression using the laws of exponents:

                                           $=(\sqrt[5]{16})(\sqrt[5]{2})\\\\ =(\sqrt[5]{2^{4} }) (\sqrt[5]{2}) \\\\=(2)^\frac{4}{5}(2)^\frac{1}{5}$

             → Using the rule: $(x^{m} )(x^{n}) = x^{m+n}$

                                           $=2^{\frac{4}{5} +\frac{1}{5} } = 2^{\frac{5}{5} }=2^{1}=2$

Therefore: $(\sqrt[5]{16})(\sqrt[5]{2})$ simplifies to be equal to 2.

#SPJ2