115k views
1 vote
F(n)=10n f(-2)=
HELPPPP FAST

F(n)=10n f(-2)= HELPPPP FAST-example-1
User Aelsheikh
by
8.4k points

2 Answers

4 votes

Answer: f(-2) = 1/100

Explanation:

In order to evaluate this function, we are going to put in -2 for n:


\sf{f(n)=10^n}


\sf{f(-2)=10^(-2)}


\sf{f(-2)=\cfrac{1}{10^2}}


\sf{f(-2)=\cfrac{1}{100}}

Therefore, the answer is f(-2) = 1/100.

In this problem, I have used the following exponent property:


\sf{x^(-n)=\cfrac{1}{x^n}}

User Dhaya
by
8.5k points
7 votes

Answer:


f(-2)=(1)/(100)

Explanation:

Pre-Solving

We are given the following function:


f(n)=10^n

And we want to find f(-2), which means that we want to find the value of the function when n = -2.

We can substitute -2 as n in the function to do this.

Solving

Substitute -2 as n in the function.


f(-2)=10^(-2)

We can simplify this.

Recall that
a^(-n) is equal to
(1)/(a^n).

So:


f(-2)=10^(-2) = (1)/(10^2) =(1)/(100)

User Zato
by
8.9k points

No related questions found