Question

can y’all help me i keep posting this question and people keep guessing and i keep getting it wrong :/

Answer 1

Answer:

C

Step-by-step explanation:

So we have:

$\frac{6^{\frac{3}{10}}}{6^\frac{1}{5}}$

To simplify, we can use the quotient rule of exponents, which says that if we have:

$\frac{x^a}{x^b}$

Then this equals:

$=x^{a-b}$

So, our equation will be:

$\frac{6^{\frac{3}{10}}}{6^\frac{1}{5}}\\=6^{\frac{3}{10}-\frac{1}{5}}$

Subtract the exponents. Turn 1/5 into 2/10 by multiplying both layers be 2. Thus:

$6^{\frac{3}{10}-\frac{1}{5}}\\=6^{\frac{3}{10}-\frac{2}{10}}$

Subtract in the exponent:

$=6^{\frac{1}{10}}$

So, our answer is C :)