Simplify “x xx4” in Math Algebra
The keyword x xx4 is not standard notation, so a clear algebraic interpretation is required. A common intended meaning is the product \(x \cdot x \cdot x^4\): one \(x\), another \(x\), and then \(x\) raised to the 4th power. Under this interpretation, the expression can be simplified using the laws of exponents.
Assumption for this problem: “x xx4” means \(x \cdot x \cdot x^4\).
Exponent rule used
When multiplying powers with the same base, add the exponents:
\[ x^a \cdot x^b = x^{a+b} \]
| Situation | Rule | Example |
|---|---|---|
| Same base multiplied | \(x^a \cdot x^b = x^{a+b}\) | \(x^2 \cdot x^5 = x^{7}\) |
Step 1: Rewrite plain x as a power
Each \(x\) can be written as \(x^1\):
\[ x \cdot x \cdot x^4 = x^1 \cdot x^1 \cdot x^4 \]
Step 2: Add the exponents
Add exponents because the base is the same (\(x\)):
\[ x^1 \cdot x^1 \cdot x^4 = x^{1+1+4} \]
Step 3: Simplify the exponent sum
\[ 1+1+4 = 6 \]
Therefore:
\[ x^{1+1+4} = x^6 \]
Final simplified form: \(\boxed{x^6}\).
Visualization: Combining powers of x without overlap
Final answer
\[ x \cdot x \cdot x^4 = x^6 \]