How do you simplify #\frac { 2^ { 2} } { 2^ { - 8} } #?
2 Answers
1024
Explanation:
Let's rewrite this equation so that it makes more sense
Now the let's solve this
The third law of indices tells us that
Simplify the fraction by turning it into a multiplication expression.
Explanation:
In algebra, if a number or variable has a negative exponent, then it is the same as 1 divided by that number or variable with a positive "version" of the exponent. However, if the denominator of a fraction has a negative exponent, then the denominator is the same as a number with a positive exponent.
In other words, you may know that
We have our fraction,
All we have to do from here is add the exponents together, Remember that if two exponents have the same base, they can be added.
We now have our answer,