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

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

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

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

Secure Information

Content will be erased after question is completed.

Enter the email address associated with your account, and we will email you a link to reset your password.

Forgot your password?

Sign Up