Which expression is equivalent to \(( x^ { \frac { 3} { 7} } ) ^ { 2} \) ?A. \(x^ { \frac { 6} { 14} } \)B. \(x^ { \frac { 17} { 7} } \)C. \(x^ { \frac { 6} { 7} } \)D. \(x^ { \frac { 5} { 7} } \)

When raising a power to another power, multiply the exponents: \(( a^ m) ^ n = a^ { m \cdot n} \). 
\[\left ( x^ { \frac { 3} { 7} } \right ) ^ 2 = x^ { \frac { 3} { 7} \cdot 2} = x^ { \frac { 6} { 7} } \]

Supplemental Knowledge:

When dealing with exponents, it's essential to understand the rules that govern their operations. One of the key rules is the power of a power rule, which states:

\[( a^ m) ^ n = a^ { m \cdot n} \]

This rule helps simplify expressions where an exponent is raised to another exponent.

Practical Insights:

Understanding exponent rules is invaluable when working in certain fields, such as science. When modeling the growth of bacteria, understanding these laws helps accurately model its expansion.

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