A fractional exponent is the same as a radical expression (square root, cubic root, etc.)

So, x^1/2 is the same as the square root of x, and x^(3/4) would be the fourth root of x^3.

To simplify 45^(1/2), you would find out what makes 45.

45 = 3 * 3 *5

Because there are two 3's and it is the square root (2), take a three out and get rid of the extra, so you have 3(5^(1/2)

1. Solve : x - 4 = x(5^1/2)

x - x(5^1/2) = 4

x(1 - 5^1/2) = 4

x = 4

1 - 5^(1/2)

2. Solve : x + 15^(1/2) = 5

x = 5 - 15^(1/2)

3. Solve :(5x - 9)^1/2 = 6

((5x - 9)^1/2)^2 = 6^2

5x - 9 = 36

5x = 45

x = 9

Quote : 

I respect faith, but doubt is what gets you an education.

Explain :

Faith is important, but if you just go on faith, you'll never learn anything.

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