Final answer:
When dealing with exponents, there are rules to follow: multiply exponents when raising to another power, add exponents when multiplying, subtract exponents when dividing. The expression (2n-4)^6 simplifies to 64(n-2)^6.
Step-by-step explanation:
When dealing with exponents, there are several rules to follow:
- When raising a number to another power, you multiply the exponents. For example, (2n)4 = 24n.
- When multiplying two expressions with exponents, you add the exponents together. For example, (2n)(2m) = 2n+m.
- When dividing two expressions with exponents, you subtract the exponents. For example, (2n) / (2m) = 2n-m.
Using these rules, let's simplify the expression (2n-4)6:
(2n-4)6 = 26(n-2)6 = 64(n-2)6.