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Algebra

Exponential Functions

Rules of Exponents - Numerical

         

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 \[ \left( 3^{12} 5^{11} \right) \div \left( 5^{9} 3^{11} \right). \]

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