### SAT Prep Class: Algebraic Substitution with Exponents

Check out Bas Rutten's Liver Shot on MMA Surge: http://bit.ly/MMASurgeEp1 SAT Prep Question #15 Question: If a?=b? and a=2, what is b? This is a substitution problem, but since it involves exponents it's not as straight forward as normal substitution. These kinds of problems can get tricky, but it's important to simplify it by plugging in the information that you know and taking it one step at a time.? Solve the Problem 1. Start by substituting the value for "a"?into the equation. This will give you 2?=b? 2. Simplify the equation further by finding the value of?2?. 2 to the fourth power just means 2x2x2x2, which equals 16.? 3. Now your new equation reads 16=b?.? 4. To find the value of "b," you'll need to take the square root of both sides to eliminate the exponent. Therefore, √16=b.? 5. Since the square root of 16 is 4, b=4. Read more by visiting our page at: http://www.mahalo.com/courses/sat-math-prep/practice-questions/substitutions-with-exponents/

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