Question

Help help help me out

Answer 1

When you have a negative exponent, you move the variable with the negative exponent to the other side of the fraction to make the exponent positive.

For example:

`x^(-3)` or
`(x^(-3))/(1) =(1)/(x^3)`

`(1)/(y^(-2)) =(y^2)/(1)` or
`y^2`

When you multiply an exponent directly to a variable with an exponent, you multiply the exponents together.

For example:

`(x^3)^2=x^((3*2))=x^6`

`(x^{(1)/(2)} )^{(3)/(2) }=x^{((1)/(2) *(3)/(2) )}=x^{(3)/(4) }`

When you multiply an exponent directly to a fraction, you multiply the exponent to the top and bottom of the fraction.

For example:

`((x)/(y) )^2` or
`((x^1)/(y^1) )^2=(x^((1*2)))/(y^((1*2))) =(x^2)/(y^2)`

`(y^2*z^{-(1)/(4)})^{(5)/(2) }` First make all of the exponents positive

`(\frac{y^2}{z^{(1)/(4)} } )^{(5)/(2) }` Now multiply the exponent into the fraction

`\frac{y^{(2*(5)/(2))} }{z^{((1)/(4)*(5)/(2) )} } =\frac{y^5}{z^{(5)/(8) } }` [y^(5) ÷ z^(5/8)]