Jurrasic said:foil exponents
gb7nash said:This is your problem. What should you be doing to the exponents?
Jurrasic said:can you rephrase that, what do you mean by that?
gb7nash said:You're trying to foil the exponents. That indicates that you're multiplying them. What should you be doing instead to the exponents?
The simplified form of 4^(1+√2) * 4^(1-√2) is 4^2, which simplifies to 16.
To combine the exponents, we use the rule that says a^x * a^y = a^(x+y). Therefore, 4^(1+√2) * 4^(1-√2) becomes 4^(1+√2+1-√2), which simplifies to 4^2.
No, the exponents can only be combined if they have the same base. In this case, both exponents have the base of 4, so they can be combined.
We use the exponent rule to simplify the problem and make it easier to solve. Without using the rule, we would have to multiply 4^(1+√2) * 4^(1-√2) manually, which can be time-consuming and prone to errors.
No, the simplified form of 4^(1+√2) * 4^(1-√2) is 4^2, which cannot be simplified further. This is because the exponents are already combined and there are no other rules or operations that can be applied to simplify it further.