Question

Rewrite the rational exponent as a radical by extending the properties of integers exponents.

2^3/4 / 2^1/2

the choices are

8 radical2^3

Radical 2^3/4

4 radical 2

radical2

Answer 1

This is the problem right?\[\frac{ 8 }{ \frac{ 4 }{ \sqrt{2} } }\]

Answer 2

No the problem is
2^3/4 divided by 2^1/2

and the choices are the rest I wrote up there

Answer 3

\(\Large {
\cfrac{1}{a^{\frac{{\color{blue} n}}{{\color{red} m}}}}\implies a^{-\frac{{\color{blue} n}}{{\color{red} m}}}
\\\quad \\
\\ \quad \\

\cfrac{2^{\frac{3}{4}}}{2^{\frac{1}{2}}}\implies \cfrac{2^{\frac{3}{4}}}{1}\cdot \cfrac{1}{2^{\frac{1}{2}}}\implies \cfrac{2^{\frac{3}{4}}}{1}\cdot2^{{\color{red}{ -}}\frac{1}{2}}\implies 2^{\frac{3}{4}}\cdot2^{{\color{red}{ -}}\frac{1}{2}}

}\)

Answer 4

Here is the paperwork. Help me please!!!, can you guys tell me if the other ones are right??

Answer 5

well... do you know how to add/subtract fractions?

Answer 6

Finding a common denominator and just subtract the numerator

Answer 7

Got it 4 radical 2, option 3 from up there