simplify the folowing. assume a,x and y are not zero... 15a^3/25a
Just plain a is like a a^1. When you divide powers, you subtract exponents.
a^3 a^1 gives you a^2
15/25=3/5
3/5 a^2
To simplify the expression (15a^3)/(25a), you can follow these steps:
Step 1: Simplify the coefficients
The coefficient of the numerator is 15, and the coefficient of the denominator is 25. Both 15 and 25 can be divided by 5:
15 ÷ 5 = 3
25 ÷ 5 = 5
So, the expression becomes (3a^3)/(5a).
Step 2: Simplify the variables
In the numerator, a is raised to the power of 3, and in the denominator, a is raised to the power of 1. When dividing, you can subtract the exponents:
a^3 / a^1 = a^(3-1) = a^2
Now, the expression is simplified to (3a^2)/5a.
Step 3: Simplify further (if necessary)
In the simplified expression, (3a^2)/(5a), you can see that a is common to both the numerator and the denominator. To simplify further, you can cancel out the common factor, which is a:
a/a = 1 (any non-zero number divided by itself equals 1)
After canceling out the common factor, the final simplified form of the expression is:
3a^2 / 5a = 3a/5