Question

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

Answer 1

`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`