expand the properties of exponents to involve monomial bases with integer exponents to simplify the expression -25x^8/5x

1 answer

To simplify the expression 25x8/5x using the properties of exponents, we can follow these steps:

Step 1: Simplify the coefficients

First, simplify the numerical coefficients:

25/5=5

Step 2: Apply the properties of exponents

Next, we apply the property of exponents that states:

aman=amn

In our expression, we have x8 in the numerator and x (which is the same as x1) in the denominator. We can simplify this as follows:

x8x1=x81=x7

Step 3: Combine the simplified parts

Now we can combine the simplified coefficient and the simplified exponent:

25x8/5x=5x7

Final Expression

Thus, the simplified expression is:

5x7