Question

Topic.......
Simplify
$\sqrt[4]{3 } \times \sqrt[4]{27}$
​

Answer 1

Answer:

3

Step-by-step explanation:

$\sqrt[4]{3}$×$\sqrt[4]{27}$

=$\sqrt[4]{81}$

=3

Answer 2

$\sqrt[4]{3} \times \sqrt[4]{27}$

$27 \:can \: be \: written \: as \: {3}^{3} \\ \\ \sqrt[4]{3} \times \sqrt[4]{ {3}^{3} }$

$it \: can \: be \: written \: in \: exponential \: form \\ \\ = {(3)}^{ \frac{1}{4} } \times {(3)}^{ \frac{3}{4} }$

$since \: {a}^{m} \times {a}^{n} = {a}^{m + n} \\ \\ = {(3)}^{ \frac{3}{4} + \frac{1}{4} }$

$= {(3)}^{ \frac{4}{4} }$

$= {3}^{1}$

$= 3$