Learning Objectives:

__Math Tutoring on Exponents and Order of Operations__

**Exponents** are used to shorten or condense repeated multiplication such as:

The term is written using **Exponential Notation**, **‘2’** is the **Base** and **‘5’** is the **Exponent**. The **Exponent** or **Power** indicates the number of times that the **Factor** or **Base** is multiplied.

In general, for any natural number ‘n’: ‘b^{n’ }means n factor of base ‘b’. If there is no exponent given, it is to the 1^{st} power.

If we are working with a **Mathematical Expression** that contains more than one **Operation**, then we need to understand how to simplify.

*Rules for Order of Operations:*

1. Calculate within the innermost **Parentheses** or **Grouping Symbols**, ( ), [ ], { }, and above or below Fraction Bars.

2. Simplify all expressions with **Exponents**.

3. **Multiply** and **Divide** from left to right.

4. **Add** and **Subtract** from left to right.

For easy remembering, an acronym ** PEMDAS** is vastly used.

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**Hook Questions:**

*1. **What are the Exponents?*

*2. **What is the Order of Operations for solving mathematical expressions containing Exponents?*

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