Exponents with fractions: how to solve Q2/5 if Q is 500

[stayingin]

If you have a fraction, say 2/5 as an exponent how would you solve Q2/5 if Q is 500?

 

[jwpaine]

Do you mean... \(\displaystyle \L q^{2/5} = 500\) ?

 

[stayingin]

nope, I guess it is just 500 to the 2/5 power. my problem is Q to the 2/5, with Q being 500

 

[o_O]

So you're trying to find $\displaystyle q^{\frac{2}{5}}$ where q = 500?

Here's a definition that might help:
$\displaystyle a^{\frac{m}{n}} = \sqrt[n]{a^{m}} = \left(\sqrt[n]{a}\right)^{m}$

 

[atrain68]

i cant remember how to multiply fractions in exponents. for example... 7000x2(2/6)=8819. also... 2000x2(7/6)

 

[Denis]

i cant remember how to multiply fractions in exponents. for example... 7000x2(2/6)=8819. also... 2000x2(7/6)

Multiply sign is now * (not x), and power sign is ^ ; so start posting accordingly:
7000 * 2^(2/6), which is 7000*2^(1/3)

Start with 2^(1/3): your calculator (if you don't have one, use google) will
tell you: 1.25992.....
Multiply that by 7000: 7000 * 1.25992... = 8819.44734... = 8819 rounded.

By the way, how many names do you use ? :shock: