Algebra

# 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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