Question

Solve (3x^4)^2 a. 6x^8 b. 9x^8 c. 3x^6 d. 6x^4

Answer 1

b . 9x^8

Step-by-step explanation:

`\left(3x^4\right)^2\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n\\\\\left(3x^4\right)^2=3^2\left(x^4\right)^2\\\\3^2=9\\\\=9\left(x^4\right)^2\\\\\mathrm{Simplify\:}\left(x^4\right)^2:\quad x^8\\\\=9x^8`