Danielle's Blog | Week 2 – Math 10

This week I have learned all out the different laws when it comes to exponents. I have learned all 4 laws…

Product Law — Add powers together when multiplying like bases

ex. When you have a question like this $5^3\cdot 5^4$ you add both exponents together because they share the same base number which is 5.

So it would be $5^7$ which is easier to figure out.

Quotient Law — Subtract powers when dividing like bases

ex. Now, when you have a question like this $\frac{5^8}{5^4}$ you have to divide the exponent which would be 8 divided by 4 which would be 2. But to do this you have to make sure both number has the same base which would be 5.

Power of powers rule — Multiply powers together when raising a power by another exponent

ex. For the power law, if the question is like this $(2^4)^2\cdot (2^2)^3$ , then you can multiply the powers beside each bracket together so $(2^4)^2$ you would multiply the 4 and 2 exponent together. Then for the other side $(2^2)^3$ you would multiply the 2 and 3 exponent together.

So your simplified equation would be $2^8\cdot 2^6$

Zero Law— Whenever the exponent = 0 the answer will = 1

ex. $9^0$ = 1

Week 2 – Math 10 – Exponent Rules

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