Solve #(2x)^6# ?

Thanks:)

2 Answers
Feb 20, 2018

See below.

Explanation:

#(2x)^6# can be rewritten as #2x xx 2x xx 2x xx 2x xx 2x xx 2x#. Here is the solution process for simplifying further:

#2x xx 2x xx 2x xx 2x xx 2x xx 2x#

#2 xx 2 xx 2 xx 2 xx 2 xx 2 xx x xx x xx x xx x xx x xx x#

#(2 xx 2 xx 2 xx 2 xx 2 xx 2) xx (x xx x xx x xx x xx x xx x)#

#(4xx4xx4)xx x^6#

#(64)xx x^6#

#color(blue)(64x^6#

I hope that helps!

Feb 20, 2018

#64x^6#

Explanation:

We can break apart #2x^6# into the following:

#2^6#, which is #64# (same as #2*2*2*2*2*2#)
#(x)^6#, which is still #x^6#

Therefore, #(2x)^6# is #64x^6#