Question

Math help

simplify. your awnser should contain only positive exponents with no fractional exponents in the denominator

Answer 1

You should get photo math you can take a picture and it will give you the answer and show you how to solve it

Answer 2

The solution using laws of exponents is:
`y^{(7)/(12) } * z^{(1)/(2) }`

How to use laws of exponents?

Some of the laws of exponents are:

- When multiplying by like bases, keep the same bases and add exponents.

- When raising a base to a power of another, keep the same base and multiply by the exponent.

- If dividing by equal bases, keep the same base and subtract the denominator exponent from the numerator exponent.

The expression we want to solve is given as:

`\frac{(x^{-(3)/(2) } y^{(5)/(3) } z^(-1))^(-1) }{zx^{(3)/(2) } y^{-(1)/(4) } * y^(-2) z^{(1)/(2) } }`

Using laws of exponents, we have:

`x^(0) * y^{(7)/(12) } * z^{(1)/(2) }`

=
`y^{(7)/(12) } * z^{(1)/(2) }`