Question

Simplify without negative exponents x^-4/x^7

Answer 1

I'm going to take your x^-4/x^7 and rewrite it for greater clarity:

x^(-4)

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x^7

If we now mult. both the numerator and the denom. of this expression by x^4, we obtain:

   1

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x^13

which is equivalent to the given expression but without a negative exponent.

Answer 2

Answer: The answer to the given expression is $\frac{1}{x^{11}}$

Step-by-step explanation:

We are given an expression:  $\frac{x^{-4}}{x^7}$

To simplify this, we use the laws of exponents:

1. $\frac{x^m}{x^n}=x^{m-n}$
2. $x^{-m}=\frac{1}{x^m}$

Simplifying the expression using law 1, we get:

$\Rightarrow \frac{x^{-4}}{x^7}=x^{-4-7}=x^{-11}$

Now, using law 2, we get:

$\Rightarrow x^{-11}=\frac{1}{x^{11}}$

Hence, the answer to the given expression is $\frac{1}{x^{11}}$