Question

4. Which of the following is equivalent to 2(3x^4)^3 ? A. 54x^7 B. 27x^7 C. 27x^12 D. 54x^12

Answer 1

$2(3x^4)^3$

Distributing the exponent:

$2(3x^4)^3=2(3^3x^{4\cdot3})=2(27x^{12})$

Multiplying:

$2(27x^{12})=2(27)x^{12}=54x^{12}$

Then, option D is correct