\(\frac{15^{11}-15^{10}}{14}=?\)

Question:\(\frac{15^{11}-15^{10}}{14}=?\)

1. \(\frac{1}{14}\)
2. \(\frac{15}{14}\)
3. \(\frac{15^{10}}{14}\)
4. 1
5. \(15^{10}\)

This topic is a part of GMAT Quantitative reasoning section of GMAT. This question has been taken from the book "GMAT Quantitative Review". GMAT Quant section consists of a total of 31 questions. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT quant topics in the problem-solving part require calculative mathematical problems that should be solved with proper mathematical knowledge.

Answer:

Put, x =\(\frac{15^{11}-15^{10}}{14}\)

Recalls the property, when two exponential properties are subtracted from each other then take the common value out of the bracket:

x =\(\frac{15^{10}(15-1)}{14}\)

Now, Subtract the values:

x =\(\frac{15^{10}(14)}{14}\)

Final Answer will become:

Correct option: E

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