Question

`(x^4 xx x^3)/x^9` is equal to ______.

Options

• x²

• x

• `1/x`

• `1/x^2`

Answer 1

`(x^4 xx x^3)/x^9` is equal to `underlinebb(1/(x^2))`.

Explanation:

The expression given is:

`(x^4 xx x^3)/x^9`

Using the laws of exponents:

Multiply powers with the same base by adding exponents in the numerator:

`x^4 xx x^3 = x^(4 + 3)`

`x^4 xx x^3 = x^7`

Divide powers with the same base by subtracting exponents:

`x^7/x^9 = x^(7 - 9)`

`x^7/x^9 = x^-2`

The value x^–2 can be written as `1/(x^2)`.