10
practice testMultiple Choice

Practice Test

Question 10 • Mathematics II

Which is equivalent to 16 raised to the 3 fourths x power ?

Answer
A
4th root of 16 raised to the 3 x power
B
3 x th root of 16 to the 4th power
C
cube root of 16 raised to the 4 x power
D
4 x th root of 16 cubed

Explanation

Rewrite the exponent as 3x/4. A fourth root is the same as raising to the 1/4 power, so the fourth root of 16 raised to the 3x power is (16^(1/4))^(3x) = 16^(3x/4). Therefore, the equivalent expression is the fourth root of 16 raised to the 3x power.

AI-written and checked against the verified answer.

Previous
Next