Simplify the Expression: Converting 1/a^(-x) to Standard Form

Insert the corresponding expression:

1a−x= \frac{1}{a^{-x}}=

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1

Understand the problem

Insert the corresponding expression:

1a−x= \frac{1}{a^{-x}}=

2

Step-by-step solution

We begin with the expression: 1a−x \frac{1}{a^{-x}} .
Our goal is to simplify this expression while converting any negative exponents into positive ones.

  • Recall the rule for negative exponents: a−n=1an a^{-n} = \frac{1}{a^n} .
  • Correspondingly, 1a−n=an \frac{1}{a^{-n}} = a^n .
  • Thus, in our expression 1a−x \frac{1}{a^{-x}} , the negative exponent can be converted and flipped to the numerator by the rule: 1a−x=ax \frac{1}{a^{-x}} = a^x .
Therefore, the expression evaluates to ax a^x .

The solution to the question is: ax a^x .

3

Final Answer

ax a^x

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\( 112^0=\text{?} \)

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