What you need to know
Things to remember:
- When multiplying terms with the same base number, we just need to add the exponents together.
- We don’t write the exponent if it is just 1.
“Exponents” is just another way of saying “powers”, and tells us how many times we have to multiply a number or letter by itself.
5^6=5\times5 \times5 \times5 \times5 \times5
n^5=n\times n\times n\times n\times n
Simplify 3^3\times3^2 by writing as one power.
We know that exponents are just a quick way of writing lots of multiplications, so let’s write this in the long way to start with:
So, really, this is just lots of multiply by 3. How many 3s do we have here? 5. So we can write this as:
Interesting, if we look at the powers, we can see that they just added together!
So, all we have to do is add the powers together!
Note: The numbers/letters before the powers have to be the same!!!
Question 1: Simplify 2^9\times2^11 by writing as a one power.
Question 2: Simplify a^4\times x^5 by writing as a one power.
a^4\times x^5= a^4\times x^5
We can’t simplify this, the letters have to be the same!!!!
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