Question

Ill send the screenshoot

Answer 1

We need to simplify the given expression:

`\frac{a^{(1)/(3)}\cdot a^{(5)/(3)}}{a^{-(4)/(3)}}`

We can rewrite the expression like this:

`\frac{a^{(1)/(3)}}{a^{-(4)/(3)}}\cdot a^{(5)/(3)}`

Now, use the next property for negative exponents:

`(1)/(a^(-n))=a^n`

Then:

`a^{(1)/(3)}\cdot a^{(4)/(3)}\cdot a^{(5)/(3)}`

If we have exponents with the same base, we can sum the exponents:

Therefore:

`a^{(1)/(3)+(4)/(3)+(5)/(3)}=a^{(10)/(3)}`