Question

Sorry quality is bad.
It says :another way to write X4/3.
Please help.

Answer 1

When dealing with fractional exponents, it's always useful to remember that the exponent can be written as a product of an integer and of a fraction that has the numerator equal to 1.

In general, this looks like this

ab=a⋅1b

This is important when dealing with fractional exponents because an exponent that takes the form 1b, like in the above example, is equivalent to taking the bth root.

x1b=b√x

Since, for any x>0, you have (xa)b=xa⋅b, you can write

x43=x4⋅13=(x4)13=3√x4

SImply put, you need to take the cube root from x raised to the 4th power.

Of course, you can also write

x43=x13⋅4=(x13)4=(3√x)4

Answer 2

`\tt x^{(4)/(3)}=\sqrt[3]{x^4}`