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kupik [55]
3 years ago
12

-9 to the negative 1 power

Mathematics
1 answer:
Travka [436]3 years ago
8 0
Bear in mind that, (-9) and -9 are very different mammals, we're assuming, you meant (-9)⁻¹.


\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{  n}}}\implies \cfrac{1}{a^{-{{  n}}}}
\\\\
-------------------------------\\\\
(-9)^{-1}\implies \cfrac{1}{-9}\implies -\cfrac{1}{9}
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Answer:

5.5 years old.

Step-by-step explanation:

Let D represent present age of Robert's dog and C represent present age of Karen's cat.

We have been given that Robert's dog is 4 years older than Karen's cat. We can represent this information in an equation as:

D=C+4...(1)

We are also told that in 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. After 3 years age of dog and cat would be D+3 and C+3 respectively.

We can represent this information in an equation as:

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From equation (1), we will get:

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Upon substituting this value in equation (2), we will get:

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Combine like terms:

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