Evaluate¡Ì7x(¡Ìx - 7¡Ì7)Show you work.
My answer x¡Ì7 ¨C 49 ¡Ìx
To evaluate the expression, you need to follow the order of operations (PEMDAS/BODMAS). Let's break down the steps:
1. Begin by simplifying within the innermost parentheses:
¡Ìx - 7¡Ì7
First, evaluate ¡Ì7:
¡Ì7 = 7^(1/2) (square root of 7)
Therefore, the expression becomes:
¡Ìx - 7 * ¡Ì7
2. Multiply 7 with ¡Ì7:
7 * ¡Ì7 = 7 * (7)^(1/2) = 7^(1/2) * 7 = 7^(3/2)
3. Simplify the expression within the outermost parentheses:
7x * (¡Ìx - 7 * ¡Ì7)
Substitute the value of 7 * ¡Ì7 we found in step 2:
7x * (¡Ìx - 7^(3/2))
4. Distribute 7x into the parentheses:
7x * ¡Ìx - 7x * 7^(3/2)
5. Multiply 7x with ¡Ìx:
7x * ¡Ìx = 7x^(3/2)
6. The final expression is:
7x^(3/2) - 7x * 7^(3/2)
Therefore, the simplified expression is:
7x^(3/2) - 7x * 7^(3/2)