College Algebra CLEP Prep Practice Exam

Find the formula for the simplification of 2^3 x 3^4.

1. 2^7 x 3

2. 2^7 x 3^4

3. 2® x 3^7

4. 2^7 x 3^2

The correct answer is: 2^7 x 3^4

Explanation The correct formula for simplifying a power of a power is to multiply the exponents together. In this case, we have (2^3)^4, which can be written as 2^(3*4) or 2^12. Therefore, the correct answer is 2^12 x 3^4, which is equivalent to option B. Option A is incorrect because it only simplifies the exponent for 2 and not 3. Option C is incorrect because it uses the ® symbol instead of the correct exponent symbol ^, and still does not correctly simplify the 3. Option D is incorrect because it also does not correctly simplify the 3 and the exponent for 2 is incorrect.