What I learned in math 9 exponents

I’m going to start by explaining what exactly an exponent is. An exponent is just a number/variable that tells you how many copies of a specific umber you have. We have exponents as a simpler way to write number. And as oppose to writing 10000000000, you can simply write 10^{10}

So how do you solve theseĀ  equations? Well you can generally solve them using one of the four exponent laws;division, multiplication, power of power, and the 0 law which I will explain all in depth a bit later. But what if it doesn’t fit in either of these categories. Well unfortunately then there are no short cuts. This will happen if you have addition/subtraction or if you have multiple operations in 1 equation.

If not with in the red square, there are no shortcuts.
*If not with in the red square, there are no shortcuts.

Something to remember is that exponents are lazy and they don’t do as they are told. Unless, there are brackets which act like police officers. So when they are around they do what they are told. Which means the exponents will multiply.

Now, to elaborate on all the exponent laws; we have the multiplication law. That tells you that when and only when you have a multiplication equation (with exponents). Your answer will be the x for the base and just add the exponents. BUT, the bases MUST BE THE SAME. (The base is the number the exponent copies). IF, your bases are not the same you must treat it as a BEDMAS question and evaluate. x^{y+t}

The same rule apply to the division law. Except that you will SUBTRACT the exponents instead of adding. And also you MUST have the same base. x{y-t}

The power of a power law is when a power (base+exponent together=power) has a exponent that looks something like this. (x^{y)t}. Also since this law will always have brackets the exponents will always be multiplied.

The last law is the 0 law. Which tells you when you have an exponent of 0 it just equals 1. x^0= 1

You may be wondering more about the relationship between BEDMAS and exponents. And as I e=had explained there are many ways fro an equation with exponents to be BEDMAS. Which only makes sense because the E stands for exponents. When a question can’t be one the the exponent laws,or if it is multiple laws, it’s a BEDMAS question.

Here is an equation that demonstrates every exponent law;

(2^{2)3}(8^0)(3^7\div3^5)(3^2)

Simplified version:

(2^6)(1)(3^4)

The answer:

5184

 

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