what is the simplified form of the expression?

Question

(3c^2d^4)^3(2c^5d^8)^3

Answer 1

Use the laws of exponents:
Laws of exponents:
x^a * x^b = x^a+b
x^a / x^b = x^a-b
(x^a)^b = x^ab

I'll solve the left part:
(3c^2d^4)^3
=3^3 * (c²)^3 * (d⁴)^3
=27 * c^(2*3) * d^(4*3)
=27 c^6 d^12