Question

In simplified exponential notation, the expression x ³ · x -4 · x = _____

1/x

0

1

Answer 1

Answer: Last option

Explanation:

You need to remember the Negative exponent rule:

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

You also need to remember the Product ot poers property and the Quotient of powers property, which are:

`a^m*a^n=a^((m+n))\\\\(a^m)/(a^n)=a^((m-n))`

And:

`a^0=1`

Therefore, you can rewrite the expression as following:

`(x^3*x)/(x^4)`

Applying the properties, you can simplify:

`=(x^4)/(x^4)\\\\=x^0\\=1`

Answer 2

1

EXPLANATION

We want to simplify:

`{x}^(3) \bullet \: {x}^( - 4) \bullet \: x`

Recall that:

`{a}^(m) * {a}^(n) = {a}^(m + n)`

We use this property of exponents to get:

`{x}^(3) \bullet \: {x}^( - 4) \bullet \: x = {x}^(3 + - 4 + 1)`

`{x}^(3) \bullet \: {x}^( - 4) \bullet \: x = {x}^(0)`

Any non-zero number to the exponent of zero is 1.

`{x}^(3) \bullet \: {x}^( - 4) \bullet \: x = 1`