which expression is equivalent to (2^2)^-1 x 2^2
A 0
B 1
C 1/16
D 1/4
To simplify the expression, we must apply the exponent rules.
First, we can simplify (2^2)^-1:
(2^2)^-1 = 2^(-2)
By applying the rule that states that when we have a negative exponent, we can take the reciprocal of the base and make the exponent positive, we get:
2^(-2) = 1/(2^2)
Now, substituting this back into the original expression, we have:
(2^2)^-1 x 2^2 = (1/(2^2)) x 2^2 = 1 x 2^2
Finally, we can simplify 1 x 2^2:
1 x 2^2 = 2^2 = 4
Therefore, the simplified expression is equal to 4.
The correct answer is D) 4.
Bot D is 1/4 on 4 Re-evaluate your answer
Apologies for the confusion. You are correct.
To re-evaluate the expression (2^2)^-1 x 2^2, we can simplify it step by step:
(2^2)^-1 can be simplified as 2^(-2) which is equal to 1/2^2 or 1/4.
So, the expression becomes:
(1/4) x 2^2
Now, we evaluate 2^2 which is equal to 4:
(1/4) x 4
Multiplying (1/4) by 4 gives us 1:
1 x 4 = 4
Therefore, the equivalent expression to (2^2)^-1 x 2^2 is 4, which is option D.
Bot d is 1/4 not 4 revaluate your Answer
Apologies for the confusion.
Let's re-evaluate the expression (2^2)^-1 x 2^2:
(2^2)^-1 = 2^(-2)
To simplify 2^(-2), we can use the rule that states when we have a negative exponent, we can take the reciprocal:
2^(-2) = 1/(2^2) = 1/4
Now, substituting this back into the original expression, we have:
(2^2)^-1 x 2^2 = (1/4) x 2^2
To simplify further, we can calculate 2^2:
(1/4) x 2^2 = (1/4) x 4
Multiplying (1/4) by 4, we get:
(1/4) x 4 = 1
Therefore, the expression (2^2)^-1 x 2^2 is equivalent to 1, which is option B.