Daily Archives: February 10, 2019

Math 10 Week 2 – Exponents and The Scientific Method

Posted by rubym2017 in Math 10 and tagged with

Exponent Law Revision:

  • First, there is the Multiplication Law: If the question is a multiplication question and the bases are the same, you can add the exponents together and keep the base the way it was. Example: 5^6\cdot5^2 = 5^8
  • Then, there was the Division Law: If the question is a division question and the bases are the same, you can subtract the exponents and keep the base the way it was, similar to the multiplication law but instead dealing with subtraction. Example:2^9\div2^4 = 2^3
  • After that, there was the Power of a Power Law: If the question looks like (7^2)^2you can use this law. All you have to do is multiply the exponents and keep the base the way it was. Example: (7^2)^2 = 7^4
  • And last but not least, there is the Exponent of Zero: If the question has an exponent of zero, you automatically know that the answer will equal to one. Example: 3^0 = 1

Negative Exponents:

If you see a number with a negative exponent, we know that you can write the answer as a fraction. If we have {2}^{-3}  and we know the answer to {2}^{3} is equal to 8, then we use the 8 as the denominator and a 1 as the numerator. Example: {2}^{-3} = {2}^{3}

{2}^{3} = 8

{2}^{-3} = \frac{1}{8}