PSAT Math Grid-Ins Question 43: Answer and Explanation
Question: 43
If the expression above is combined into a single power of x with a positive exponent, what is that exponent?
Correct Answer: 3
Explanation:
3
Difficulty: Hard
Category: Passport to Advanced Math/Exponents
Getting to the Answer: You need to use rules of exponents to simplify the expression. Before you can do that, you must rewrite the radicals as fraction exponents. Use the phrase "power over root" to help you convert the radicals: 
and 
. Then, use rules of exponents to simplify the expression. Add the exponents of the factors that are being multiplied and subtract the exponent of the factor that is being divided:
The exponent of the simplified expression is 3.
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