# Math

### Select a Subject

• Math Press Enter to activate

### Select a Type

• Calculator: Permitted Press Enter to activate

### Select a Question

• Calculator: Not Permitted Press Enter to activate

### Select a Question

• Reading Press Enter to activate

### Select a Question

• Writing Press Enter to activate

### Select a Question

• Essay Press Enter to activate

# Question 6 of 18

beginning of content:

# M:N:MC:5

Tags:
SAT

Exam

Calculator: Not Permitted

Subscore

If  where  and  which of the following equations gives  in terms of

No

Yes

No

No

Choice B is correct. There are multiple ways to approach this problem, but all require an understanding of the properties of exponents. The student may rewrite the equation as  and then proceed to solve for  first by squaring both sides, which gives  and then multiplying both sides by to find  Finally, dividing both sides by  isolates the desired variable.

Choice A is not the correct answer. This answer may result from a misunderstanding of the properties of exponents. The student may understand that a negative exponent can be translated to a fraction but misapply the fractional exponent.

Choice C is not the correct answer. This answer may result from a misunderstanding of the properties of exponents. A student may recognize that an exponent of  is the same as the square root but misapply this information.

Choice D is not the correct answer. This answer may result from a misunderstanding of the properties of exponents. The student may recognize that the fractional exponent on  is the same as the square root, and that therefore  can be isolated by squaring both sides. However, the student may not understand how the negative exponent affects the base.

Question Difficulty:
medium
Objective:

Students must demonstrate fluency with the properties of exponents. They must be able to relate fractional exponents to radicals as well as demonstrate understanding of negative exponents.