Simplified expression

Question

X^5/7 • X^1/14

Answer 1

To simplify the expression \( X^{\frac{5}{7}} \cdot X^{\frac{1}{14}} \), you can use the property of exponents that states \( a^m \cdot a^n = a^{m+n} \).

1. First, find a common denominator for the exponents \( \frac{5}{7} \) and \( \frac{1}{14} \). The common denominator of 7 and 14 is 14.

2. Convert \( \frac{5}{7} \) to have a denominator of 14: \[ \frac{5}{7} = \frac{5 \cdot 2}{7 \cdot 2} = \frac{10}{14} \]

3. Now, you can add the exponents: \[ \frac{10}{14} + \frac{1}{14} = \frac{10 + 1}{14} = \frac{11}{14} \]

4. Thus, the simplified expression is: \[ X^{\frac{11}{14}} \]

So, the final result is: \[ X^{\frac{11}{14}} \]