What you need to know
Things to remember:
- Counting how many times you do the multiplications can help keep track of how many you have done and how many are left.
- A power of 1 doesn’t change the number
- A power of 0 is always 1.
- 1 to any power is 1.
- 0 to any power is 0.
An exponent is a number written to the top right of a number and tells us how many times we multiply a number by itself.
6^2 = 6\times 6
6^3 = 6\times 6\times 6
6^4= 6\times 6\times 6\times 6
So, all we’re doing when we have exponents is lots of multiplications. When we do these multiplications, we refer to it as “evaluating the exponent”.
Evaluate the following exponents:
There are some special exponents that give some nice easy answers.
Exponent equals 1
When the exponent is 1, the answer is the same as what you started with.
Exponent equals 0
If the exponent is 0, it always equals 1.
1 to any power is always 1.
If we think about 1 to a power, it just means we are multiply 1 by itself lots of times.
Note: You don’t really need to worry about decimal powers.
0 to any power is always 0.
If we think about 0 to a power, it just means we are multiplying 0 by itself. Whenever we multiply a number by 0, it’s 0.
Question 1: Evaluate 3^5
Question 2: Evaluate 17.89^1
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