8. search benchmarks write a program that has an array of at least 20 integers. it should call a function that uses the linear search algorithm to locate one of the values. the function should keep a count of the number of comparisons it makes until it finds the value. the program then should call a function that uses the binary search algorithm to locate the same value. it should also keep count of the number of comparisons it makes. display these values on the screen.

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Ответ:

kev71

08.02.2023

Mathematics

Given:

The expression is:

$\dfrac{60m^{-2}n^6}{5m^{-4}n^{-2}}$

To find:

The equivalent expression.

Solution:

We have,

$\dfrac{60m^{-2}n^6}{5m^{-4}n^{-2}}$

It can be written as:

$=\dfrac{60}{5}\times \dfrac{m^{-2}}{m^{-4}}\times \dfrac{n^6}{n^{-2}}$

$=12\times m^{-2-(-4)}\times n^{6-(-2)}$ $[\because \dfrac{a^m}{a^n}=a^{m-n}]$

$=12\times m^{-2+4}\times n^{6+2}$

$=12m^{2}n^{8}$

Therefore, the correct option is A.

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