Section 1 6 b BEDMAS with Exponents I

Section 1. 6 b BEDMAS with Exponents

I) BEDMAS with Exponents • When simplifying an expression with “Exponents”, we use BEDMAS to decide which operation to goes first • Brackets, Exponents, Divide, Multiply, Add, Subtract Q: Would you square the “ 3” first or multiply 3 by 5 first? You would square the 3 first because “exponents” are operated before multiplication You would multiply the 3 and 5 first because they are in “brackets”. Operations in brackets are done before exponents ©Copyright All Rights Reserved to Homework Depot at www. BCMath. ca

Practice: Evaluate When a number is next to a bracket, that number is multiplied to the value inside The operations inside the brackets are performed first

Zero Exponents • When a number has an exponent of zero, the value will be equal to one However, zero to the power of zero is undefined We need to be careful with negative bases. Can you see the difference between the three expressions? The last two are the same, we take the base to the exponent of zero first. Then we multiply one by the negative sign © Copyright all rights reserved to Homework depot: www. BCMath. ca

• If a power has an exponent of zero, it doesn’t matter what the base is. The value will be equal to one When simplifying an expression, we need obey the order of operation: BEDMAS Simplify all “Brackets” first Then we take it to the exponent. If the exponent is zero, then the value now will be equal to one Next we multiply or divide (from left to right) Then add or subtract (from left to right) © Copyright all rights reserved to Homework depot: www. BCMath. ca

Practice: Evaluate each of the following and write down your answer B E D

Practice: Evaluate When evaluating these expressions remember to use BEDMAS Simplify the other bracket It doesn’t matter what’s inside this bracket. Since it’s to the power of zero, the whole thing become 1 B: Simplify each bracket M: Multiply the brackets Since there are brackets inside each other, simplify the inner ones first Multiply each bracket then subtract them Copyright All Rights Reserved Homework Depot at www. BCMath. ca

Given each expression and the process of how it’s simplified, indicate which step the error is at: This should be – 12 The first error is in step 2. This should be +1 Exponent before multiplying Should be 4 x 32 Copyright All Rights Reserved Homework Depot at www. BCMath. ca