How do you simplify (b8c6d5)(8b6c2d)?

2 Answers
Dec 24, 2016

8b14c8d6

Explanation:

for mulıplication only sum the power of the same terms, i.e:
b8b6=b14 then similarly c6c2=c8 and d5d=d6

Therefore (b8c6d5)(8b6c2d)=8b14c8d6

Dec 24, 2016

8b14c8d6

Explanation:

Step 1) Combine the terms in parenthesis:

(b8c6d5)(8b6c2d)b8c6d58b6c2d

Now we can group like terms:

b8c6d58b6c2d8b8b6c6c2d5d

For the next step in the simplification we need to use the following rule for exponents:

xaxb=xa+b

Using this rule we can now combine like terms:

8b8b6c6c2d5d8b8+6c6+2d5+18b14c8d6