How do you simplify #8(-7)^4 * 4(-7)^11#?

1 Answer
May 22, 2018

Answer:

#32 xx (-7)^15#
#=-1.5192 xx 10^14#

Explanation:

#8(-7)^4 xx 4(-7)^11# is all one term with four factors multiplied.

You can re-arrange them.
#8 xx 4 xx (-7)^4 xx (-7)^11#

#=32 xx (-7)^15" "larr# add the indices of like bases.

If you simplify this further you get a really big number. It will be negative because the index is an odd number.

#=-1.5192 xx 10^14#