# Solving Math Problems With Exponents

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The important bit of this exercise is that the base of the power, which is the whole parenthesis, is a subtracting and we don't have rules to resolve it.

Due to this, we have to do the work inside the parenthesis until we can apply the rules we have. We apply the rule to the first, which is the power of a multiplication.

We remember that the symbol ":" is a division, the same way as "/" is.

Before we dive into simplifying exponents, let's take some time to learn exactly what an exponent is.

Solution: If one side of the square-shaped room is 12 feet, then the area of the room is (12 feet)Summary: To help us remember the order of operations, we can use the mnemonic PEMDAS, which stands for: Please Excuse My Dear Aunt Sally Parentheses, Exponents, Multiplication & Division, Addition & Subtraction Note that although there are six words, they correspond to four rules.

Directions: Complete each exercise by applying the rules for order of operations.If n is a negative number (-1, -2, -3, -4,...), the result is 0.00...1 where the value of n in positive indicates the number of 0's counting the 0 before the comma.These are the type of powers used in scientific notation.Problem: Evaluate this arithmetic expression: 18 36 ÷ 3Example 4: An interior decorator charges per square foot to lay a carpet, and an installation fee of 0.If the room is square and each side measures 12 feet, how much will it cost to carpet it?Click once in an ANSWER BOX and type in your answer; then click ENTER.After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. Rule 2: Perform all multiplications and divisions, working from left to right.Rule 3: Perform all additions and subtractions, working from left to right.By writing the power in the denominator as the multiplication of powers of bases 3 and 2, we then have the same bases in the numerator and denominator and can now apply the rules.The biggest problem in this expression is the amount of different bases that the powers have.