#5sqrt5# can be written in the form #5^k#. What is the value of #k#?
1 Answer
Explanation:
Let's first break this down:
Now let's talk exponents.
Exponents tell us the number of times we multiply something by. For instance, if we have
So how many times do we multiply 5 by to get 5? Answer: once. Therefore:
Now let's talk about the square root. If we take
Remember that when we are multiplying numbers with exponents and the same base, the rule is:
and so we can see that
Which gives us:
Therefore,