Respuesta :

Answer:

[tex]\frac{1}{a^{7} }[/tex]

Step-by-step explanation:

Use this rule:

[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]

So, this gives you

[tex]a^{-13+6}[/tex]

This equates to:

[tex]a^{-7}[/tex]

However, we cant leave the exponent negative, so we use this formula:

[tex]a^{-b}=\frac{1}{a^b}[/tex]

So, the answer is:

[tex]\frac{1}{a^{7} }[/tex]

Answer:

There is no denominator a^-7

The power is positive 1/a^7

Step-by-step explanation:

Remark

We are not told what the restrictions on the power are. Here are the possibilities.

  • There is no denominator.
  • The power must be positive.

So I will give the answer to both conditions. You will have to choose.

There is no denominator

That means that The powers are subtracted

Multiply numerator and denominator by a+6

a^- 13 * a^6

=========

a^-6 * a^6

To start a^(-6 + 6) = a^0 which = 1. That is not written, so you are left with a^ (-13 + 6) = a ^ -7

The answer must have a positive power.

Multiply the numerator and denominator by a^13.

numerator

a^-13 * a^13

a^(-13 + 13)

a^0

1

So we are left with 1 in the numerator.

a^-6 * a^13

a^(-6 + 13)

a^7

Answer: what is left is  1/a^7