which expression is equivalent to (6^-1)^-2
A 36
B 6
C 1/6
D 1/36
To simplify (6^-1)^-2, we can use the rule of exponents that states that when you raise a power to a negative exponent, it is the same as moving the base to the denominator.
(6^-1)^-2 = 6^(-1 * -2)
Multiplying the exponents:
= 6^2
= 36
Therefore, the expression (6^-1)^-2 is equivalent to 36.
Answer: A 36