To simplify the expression of dividing x³ 6 by x², we start by rewriting it in a more manageable form:
We can express this division as:
x³ * 6 ÷ x²
Next, we can break this down step by step. First, we focus on the division of the variables:
x³ ÷ x²
Using the property of exponents which states that when we divide like bases, we subtract their exponents, we have:
x^(3-2) = x^1 = x
So, after subtracting the exponents, we get ‘x’. Now, we still have the constant 6 in our expression, so we include that:
x * 6 = 6x
Therefore, the final result of dividing x³ 6 by x² is:
6x
This means for any value of x, if you divide 6 times x cubed by x squared, you will end up with 6 times x.