Question

Is my answer correct?

Divide

x^3/5 divided by x^1/4

Answer:

x^7/20

Answer 1

\[x^{\frac{ 3 }{ 5 }} \ \div x ^{\frac{ 1 }{ 4 }} \]

If you negative the divisor, you can make it a multiplication problem with both x's on the top. So:

\[x^{\frac{ 3 }{ 5 }} \ \times x ^{\frac{ -1 }{ 4 }} \]

Like bases means add the exponents.

\[x^{\frac{ 3 }{ 5 }+\frac{ -1 }{ 4 }}\]

And therefore you have 3/5 -1/4
Which is like 12/20-5-20

Which, yes, does equal 7/20.

Therefore, the answer is x^(7/20)

Answer 2

you have very nice cursive, and that makes sense, thank you