%5E3x-1-9x2%2B3x-2.jpeg "(1/3)^3x-1 9x2+3x-2")
Simplifying Algebraic Expressions: (1/3)^3x-1 9x2+3x-2
In this article, we will explore how to simplify the algebraic expression (1/3)^3x-1 9x2+3x-2. Simplifying algebraic expressions is an essential skill in mathematics, and it involves combining like terms and eliminating any parentheses or fractions.
Step 1: Evaluate the Exponentiation
Let's start by evaluating the exponentiation part of the expression, which is (1/3)^3x-1. To do this, we need to apply the rule of exponentiation, which states that (a^b)^c = a^(bc).
(1/3)^3x-1 = (1^(3x-1))/3^(3x-1)
Step 2: Simplify the Numerator
Next, we need to simplify the numerator, which is 1^(3x-1). Since any number raised to the power of 0 is 1, we can rewrite the numerator as:
1^(3x-1) = 1
Step 3: Simplify the Denominator
Now, let's simplify the denominator, which is 3^(3x-1). We can rewrite this as:
3^(3x-1) = 3^3x / 3^1
3^3x / 3^1 = 3^(3x-1)
Step 4: Combine the Numerator and Denominator
Now that we have simplified the numerator and denominator, we can combine them to get:
(1/3)^3x-1 = 1 / 3^(3x-1)
Step 5: Simplify the Rest of the Expression
The remaining part of the expression is 9x2+3x-2. We can simplify this by combining like terms:
9x2 + 3x - 2 = 9x^2 + 3x - 2
Final Simplified Expression
Therefore, the final simplified expression is:
(1/3)^3x-1 9x2+3x-2 = 1 / 3^(3x-1) 9x^2 + 3x - 2
By following these steps, we have successfully simplified the algebraic expression (1/3)^3x-1 9x2+3x-2.
