### What example is there for when a power of 2 is equal to a power of 4 and greater than the number 40?

4 = 2² → 4^x = 2^(2x) We want 4^x > 40 Taking logs gives: x log 4 > log 40 → x > log 40 / log 4 This can be solved to find a value of x to be greater than (approx) 2.661 Thus 4^2.662 = 2^5324 ≈ 40.06 is an example. So all powers of 4 where the power is greater than approx 2.661 with 2 to the power of twice that…

### How should you simplify x0?

If that is x to the power 0, then it = 1, irrespective of the value of x. Consider for example x =4. x squared is 16. To get from x to the power 2 to x to the power 1, you divide by x, giving 4 to the power 1 = 4. Similarly, to get from x to the power 1 to x to the power 0, you divide by x, giving 4 to…

### X plus 2 to the second power plus y minus 4 to the second power equals 36. What is x?

(x+2)2 + (y-4)2 = 36 This is the graph of a circle, with a radius of 6, centered at the point (-2, 4). (x+2) = sqrt [ 36 - (y-4)2 ] X = -2 + sqrt [ 36 - (y-4)2 ] If you pick a million numbers for ' Y ', this equation is not solvable whenever the absolute value of (Y-4) is more than 6. But whenever the absolute value of (Y-4) is 6…

### Why is exponentiation not an associative operation?

The browser used by Answers.com is not up to the formatting, but consider 2 to the power 3 to the power 4. (2 to the power 3) to the power 4 = 8 to the power 4 = 4096 while 2 to the power (3 to the power 4) = 2 to the power 81 = 3.9*10154 (approx). These two values are not equal and this, therefore, acts as an example showing that exponentiation is…

### 2 resistors unequal value are in parallel. Would the power dissipated by the resistor with larger ohmic value be greater than the power dissipated by the resistor of lesser value?

No, because the power dissipated in a resistor is proportional to the square of the current through the resistor but only directly proportional to the resistance of the resistor (I^2 * R) and the current through the lower value resistor will be higher than the current through the higher value resistor, the lower value resistor will usually dissipate more power.