Question if-for
2.4 Equivalent Expressions - Simplifying rational expressions
0:00
If 
for all positive values of x, what is the value of 
?
Enter your answer:
If for all positive values of x , what is the value of ?
Hard-difficulty · SAT Math · Equivalent Expressions — Simplifying rational expressions. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
The correct answer is 
. The value of can be found by first rewriting the left-hand side of the given equation as 
. Using the properties of exponents, this expression can be rewritten as 
. This expression can be rewritten by subtracting the fractions in the exponent, which yields 
. Thus, is . Note that 7/6, 1.166, and 1.167 are examples of ways to enter a correct answer.
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