John's error is assuming that any number to the zero power equals 1. This is only true for non-zero numbers.
Carol's error is in multiplying the exponents without first simplifying the expression inside the parentheses.
To find the correct answer, we need to fully simplify the expression:
(2^2 x 2^-6)^-3 x 2^0
= (4 x 1/64)^-3 x 1
= (4/64)^-3
= (1/16)^-3
= (16)^3
= 4096
Therefore, the correct answer is 4096.
Students were given the task to fully simplify: (2^2 x 2^-6)^-3 x (2)^0
John believes the answer was 1 as any number to the zero power (except 0^0 ) equals 1.
Carol believes that the answer is 4^12 since 2 x 2 = 4 and for the exponents 2 + -6 = -4 and -4 x -3 =12
What is John's error?
What is Carol's error?
What is the correct answer. Show your work.
Math
1 answer
1 answer