simplify 4^8/4^-4
Would this be 4^4 the correct answer?
when dividing, subtract exponents, giving
4^(8-(-4)) = 4^12
Your answer is 4^8 / 4^4
4^8/4^-4 = 4^8 / (1/4^4) = 4^8 * 4^4/1 = 4^12
so you are saying 4^-4 is the same as 1/4^4.
Thank you for trying to explain this but I am still alittle confused.
To simplify the expression (4^8) / (4^-4), we can use the rule of exponents that states a^m / a^n = a^(m-n).
In this case, we have 4^8 / 4^-4. Applying the exponent rule, we subtract the exponents:
4^8 / 4^-4 = 4^(8-(-4)) = 4^(8+4) = 4^12.
Therefore, the simplified answer is 4^12.