Question

Simplify the expression completely.

(-3d^4e^8)^3 (2d^2e^4)^3

Answer 1

first simplify the 2 'halves'

(-3d^4e^8)^3 = (-3d^4)^3*(e^8)^3

now use the index rule ( na^b)^c = n^c a^(bc)

Answer 2

thx

Answer 3

yw

Answer 4

so the first part comes to
(-3)^3 d^(4*3) e^(8*3)
= -27 d^12 e^24
now work out the decond part in a similar way
then the 2 parts are multiplied

Answer 5

recall the rule for multiplying indices
a^n * a^m = a^(n + m)