Identify the base and the exponent for the exponential expression.

Mathematics
Tutor: None Selected Time limit: 1 Day

(-8)^8 (-8)^5                               Would I multiply across?   Would my answer be 64^40?

May 5th, 2015

No, when you multiply and have the same base like here, and the base is -8 you have to sum the exponent :

(-8)^8 (-8)^5=(-8)^(8+5)=(-8)^13 the base is -8 and the exponent 13. 

You can see it clearly with this exemple 2^3 x 2^2 = 8 * 4 = 32

and 2^5 also is equal to 32. Actually 2^3 x 2^2=2 x 2 x 2 x 2 x 2 (5 times) so the exponent is 5

May 5th, 2015

I understand now, thank you.  What happens if the Base is different?


May 5th, 2015

If the base is different, you can't do anything except the case where there is a common part on the base, let me explain by an exemple :

6^3 x 3^4 = (3 x 2)^3 x 3^4 = 3^3 x 2^3 x 3^4 = 3^7 x 2^3


May 5th, 2015

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