Question

Pleases someone explain

Answer 1

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

For example:

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

`2x^(-3)` or
`(2^1x^(-3))/(1) =(2)/(x^3)`

`(1)/(x^(-5)) =x^5`

When a base with an exponent is divided by a base with an exponent, you subtract the exponents together. (But you can only combine the exponents when the bases are the same)

For example:

`(x^2)/(y)` (can't combine because they have different bases of y and x)

`(x^5)/(x^3) =x^((5-3))=x^2`

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

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

For example:

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

`(y^2)^(10)=y^((2*10))=y^(20)`

`(2e^0)/((e^(-3))^2)` First multiply the exponents together in the denominator

`(2e^0)/(e^((-3*2)))= (2e^0)/(e^(-6))` Now subtract the exponents together

`2e^((0-(-6)))` (two negative signs cancel each other out and become positive)

`2e^((0+6))`

`2e^6`