Exponent question? Please help math experts!!!!!!?
Please help me solve this problem!!! I really don't get it... Please explain thoroughly and step by step
Marcel now has to simplify (8^3/2^5)^2. Explain how 8^3 can be rewritten using the base 2. Then explain how to apply the laws of exponents to simply marcel's expression.
- Marley KLv 79 years agoFavorite Answer
8 = 2^3
so 8^3 = (2^3)^3 = 2^9
when you have the same base and are dividing, just subtract the exponents:
(2^9) / (2^5) = 2^(9-5) = 2^4
now you have (2^4)^2 = 2^8
you've used two basic rules:
1) a^m / a^n = a^(m-n)
2) (a^m)^n = a^(mn)
that's it! ;)