Digital PSAT Math Practice Question 240: Answer and Explanation
Question: 240
If 
for all values of x, what is the value of a?
- A. 0
- B. 3
- C. 5
- D. 16
Correct Answer: B
Explanation:
(B) You need to try to simplify the left side of the equation a bit to get it in the same form as the right side.
When an exponent is raised to another exponent, you multiply those exponents, so 
.
Also, 
can be broken up into 
. Since 
, the expression can be further simplified:
. Therefore, the left side of the equation simplifies to 
. You can then combine like terms:
, then it follows from dividing both sides by 
that a = 3, answer (B).
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