Simplifying Expressions: An Example
In this article, we will simplify the expression x^(2) × 7x^(5) × (1/7)x^(3) × (-6x)
and evaluate it when x = 1
.
Step 1: Combine like terms
First, let's combine the x
terms:
x^(2) × x^(5) × x^(3) = x^(2 + 5 + 3) = x^10
Next, let's combine the coefficient terms:
7 × (1/7) × (-6) = -6
Now, we have:
x^10 × -6
Step 2: Evaluate the expression when x = 1
Substituting x = 1
, we get:
(1)^10 × -6 = 1 × -6 = -6
Therefore, the simplified expression is -6
.
Conclusion
In this article, we simplified the expression x^(2) × 7x^(5) × (1/7)x^(3) × (-6x)
and evaluated it when x = 1
. The final answer is -6
.