Question

the value of 27 raise to the power 1 by 3 4 raise to the power 1by2

Answer 1

Here is the solution :

Q : 27^(1/3), and 4^(1/2),

We know that,
a^(1/b) = b root (a)

$= > {a}^{ \frac{1}{b} } = \sqrt[b]{a}$

$from \: the \: formlula \: we \: can \: write \: this \:$

${27}^{ \frac{1}{3} } \: = \: \sqrt[3]{27}$

$27 \: = \: 3 \times 3 \times 3$

$= > \: \sqrt[3]{ {7}^{3} }$

$= > 7 \: is \: the \: answer$

$now$

${4}^{ \frac{1}{2} }$

$from \: the \: formula$

${4}^{\frac{1}{2} } \: = \: \sqrt[2]{4}$

$4 \: = \: 2 \times 2$

$= > \: \sqrt[2]{ {2}^{2} }$

$= > \: 2 \: is \: the \: answer \:$

If the question meaning is to multiply answers, Then the answer is 3*2 = 6,

Therefore : Answer for 27 raise to power 1/3 is 3, and 4 raise to power 1/2 is 2,

Therefore : The answer for different question meaning is 6 !.

Hope you understand, Have a Great day !..

Answer 2

27 raised to the power 1by3 so you take 3and raise it to power three we get 27 so the answer is 3
4 raised to the power 1by2 so you take 2 and raise to the power 2 we get 4 so the answer is 2
You can use this method to find answer for these types of questions