Answer:
1 /3^ 2 and 3^2 are equivalent
1/ 4^ − 3 and 4^− 3 are not equivalent.
Explanation:
According to one of the law of indices, given two numbers a and b
a^-b = 1/a^b
When a number is raised to a negative power, the equivalent form of the expression becomes a fraction when the negative power is removed.
Given this pair of expressions
1 /3^ 2 and 3 − ^2
Both expression are equal by applying the law of indices above.
3^-2 = 1/3^2 ( note that 3 serves as 'a' while 2 serves as 'b)
For the pair of expressions
1/ 4^ − 3 and 4 ^− 3
Both expressions are not equal, becomes converting 4 ^− 3 to a fraction suppose to neutralize the negative sign to give 1/4^3 instead of 1/ 4^ − 3.