How do you multiply #(a ^ { 7} b ^ { 12} ) ( a ^ { 4} b ^ { 8} )#?

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Answer 1 · 2016-11-14T03:27:03

#a^11 b^20# Add the exponents of each variable.

When multiplying with exponents just add the exponents of the factors with the same bases.

example
#2^3 xx 2^4 = 2^7#

# 8 xx 16 = 128#

so #a^7 xx a^4 = a^11#

and # b^12 xx b^8 = b^20#

putting them together the answer is

#a^11b^20#