Question
4 to 6 power times 4 to the negative 8 power
Answers
GPT 3.5
To simplify the expression 4^6 * 4^(-8), we can add the exponents since the bases are the same:
4^6 * 4^(-8) = 4^(6 + (-8)) = 4^(-2)
Recall that any number raised to the power of -n is equal to 1 divided by that number raised to the power of n. Therefore:
4^(-2) = 1/4^2 = 1/16
So, 4^6 * 4^(-8) simplifies to 1/16.
4^6 * 4^(-8) = 4^(6 + (-8)) = 4^(-2)
Recall that any number raised to the power of -n is equal to 1 divided by that number raised to the power of n. Therefore:
4^(-2) = 1/4^2 = 1/16
So, 4^6 * 4^(-8) simplifies to 1/16.