Question

Evaluate or simplify the following the expres 121^((1)/(2))-:121^(-(1)/(2))

Answer 1

To evaluate or simplify the expression 121^((1)/(2))-:121^(-(1)/(2)), find the square root of 121 and the reciprocal of the square root of 121. Subtract the second term from the first term and simplify the expression to get the answer.

Step-by-step explanation:

To evaluate or simplify the expression 121^((1)/(2))-:121^(-(1)/(2)), we need to understand exponentiation and division of exponents.

Let's evaluate each term separately:

1. For the first term, 121^((1)/(2)), we raise 121 to the power of 1/2. This means finding the square root of 121, which is 11. Therefore, the first term is 11.
2. For the second term, 121^(-(1)/(2)), we raise 121 to the power of -(1/2). This means finding the reciprocal of the square root of 121. The reciprocal of 11 is 1/11. Therefore, the second term is 1/11.

Now, we can simplify the expression by subtracting the second term from the first term: 11 - (1/11). To simplify further, we can find a common denominator, which is 11. So, the expression becomes (121/11) - (1/11) = 120/11.

Therefore, the simplified expression is 120/11.