Answer:
C
Step-by-step explanation:
So we have:
[tex]\frac{6^{\frac{3}{10}}}{6^\frac{1}{5}}[/tex]
To simplify, we can use the quotient rule of exponents, which says that if we have:
[tex]\frac{x^a}{x^b}[/tex]
Then this equals:
[tex]=x^{a-b}[/tex]
So, our equation will be:
[tex]\frac{6^{\frac{3}{10}}}{6^\frac{1}{5}}\\=6^{\frac{3}{10}-\frac{1}{5}}[/tex]
Subtract the exponents. Turn 1/5 into 2/10 by multiplying both layers be 2. Thus:
[tex]6^{\frac{3}{10}-\frac{1}{5}}\\=6^{\frac{3}{10}-\frac{2}{10}}[/tex]
Subtract in the exponent:
[tex]=6^{\frac{1}{10}}[/tex]
So, our answer is C :)
