Need help with powers

[saif]

Hello
i am new to this forum and this is my first post
i am studying 1st year engineering in diploma just need help with some basic revision with powers

16[SUP]x[/SUP] so i put x=1/2

so it should be like this

16[SUP]1/2 [/SUP]which mean its square root of 16 which is 4

i figured this out but i am little bit confused at this problem

16[SUP]1/4 [/SUP]

thnx for help in advance

 

[galactus]

It's asking for the fourth root of 16.

What to the 4th power gives you 16?.


Here is a small 'trick' that can help find the values of fractional exponents.

For example, say you're given $\displaystyle \displaystyle 16^{\frac{3}{4}}$. What is this equal to?.

It is handy to write it in terms of radical notation. $\displaystyle \displaystyle \sqrt[4]{16^{3}}$.

The numerator of the exponent is the power inside the radical and the denominator is the root index.

But, the power inside can be moved outside like so.

$\displaystyle \displaystyle \sqrt[4]{16^{3}}=\left(\sqrt[4]{16}\right)^{3}$.

Now, it is easy to see what the inside is. It is the answer to your problem.

Now, simply take it to the third power and you have it.

Another example:

$\displaystyle \displaystyle 32^{4/5}=\sqrt[5]{32^{4}}=\left(\sqrt[5]{32}\right)^{4}=2^{4}=16$

 

[Deleted member 4993]

Hello
i am new to this forum and this is my first post
i am studying 1st year engineering in diploma just need help with some basic revision with powers

16[SUP]x[/SUP] so i put x=1/2

so it should be like this

16[SUP]1/2 [/SUP]which mean its square root of 16 which is 4

i figured this out but i am little bit confused at this problem

16[SUP]1/4 [/SUP]

thnx for help in advance

Hint:

4 = 2²

16 = 4²