Algebra

Exponential Functions

Rules of Exponents - Numerical

         

If 115×119=11m×114×11n,\large 11 ^{5} \times 11 ^{9}= 11 ^m \times 11 ^{4} \times 11 ^n, then what is the value of m+nm+n?

Given 9a=27109^a = 27^{10} , where aa is a positive integer, what is the value of aa?

Which of the following is equal to 38? 3^{-8} ?

Evaluate

22512. \Large 225 ^ { \frac{ 1}{2} } .

Evaluate (312511)÷(59311). \left( 3^{12} 5^{11} \right) \div \left( 5^{9} 3^{11} \right).

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