Question

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

Answer 1

ANSWER

1

EXPLANATION

We want to simplify:

${x}^{3} \bullet \: {x}^{ - 4} \bullet \: x$

Recall that:

${a}^{m} \times {a}^{n} = {a}^{m + n}$

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.

${x}^{3} \bullet \: {x}^{ - 4} \bullet \: x = 1$

Answer 2

Answer: Last option

Step-by-step explanation:

You need to remember the Negative exponent rule:

$a^{-1}=\frac{1}{a}$

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

$a^m*a^n=a^{(m+n)}\\\\\frac{a^m}{a^n}=a^{(m-n)}$

And:

$a^0=1$

Therefore, you can rewrite the expression as following:

$\frac{x^3*x}{x^4}$

Applying the properties, you can simplify:

$=\frac{x^4}{x^4}\\\\=x^0\\=1$