Question

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

Answer 1

C

Explanation:

So we have:

`\frac{6^{(3)/(10)}}{6^(1)/(5)}`

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

`(x^a)/(x^b)`

Then this equals:

`=x^(a-b)`

So, our equation will be:

`\frac{6^{(3)/(10)}}{6^(1)/(5)}\\=6^{(3)/(10)-(1)/(5)}`

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

`6^{(3)/(10)-(1)/(5)}\\=6^{(3)/(10)-(2)/(10)}`

Subtract in the exponent:

`=6^{(1)/(10)}`

So, our answer is C :)