Algebra
Exponential Functions
If \[\large 11 ^{5} \times 11 ^{9}= 11 ^m \times 11 ^{4} \times 11 ^n,\] then what is the value of \(m+n\)?
Given \(9^a = 27^{10} \), where \(a\) is a positive integer, what is the value of \(a\)?
Which of the following is equal to \( 3^{-8} ? \)
Evaluate
\[ \Large 225 ^ { \frac{ 1}{2} } . \]
Evaluate \[ \left( 3^{12} 5^{11} \right) \div \left( 5^{9} 3^{11} \right). \]