Exercises: Simple fractions - learn with Serlo!

\displaystyle \left[400-\left(7+3\cdot2^7\right)\right]:3

=

\displaystyle \left[400-\left(7+3\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\right)\right]:3

=

\displaystyle \left[400-\left(7+3\cdot4\cdot4\cdot4\cdot2\right)\right]:3

=

\displaystyle \left[400-\left(7+3\cdot16\cdot4\cdot2\right)\right]:3

=

\displaystyle \left[400-\left(7+3\cdot16\cdot8\right)\right]:3

=

\displaystyle \left[400-\left(7+3\cdot128\right)\right]:3

=

\displaystyle \left[400-\left(7+384\right)\right]:3

=

\displaystyle \left[400-391\right]:3

=

\displaystyle 9:3

=

\displaystyle 3

$\displaystyle 3^5$	$=$	$\displaystyle 3\cdot3\cdot3\cdot3\cdot3$
	↓	Calculate step by step.
	$=$	$\displaystyle \underbrace{3\cdot3}_9\cdot3\cdot3\cdot3$
	$=$	$\displaystyle \underbrace{9\cdot3}_{27}\cdot3\cdot3$
	$=$	$\displaystyle \underbrace{27\cdot3}_{81}\cdot3$
	$=$	$\displaystyle 81\cdot 3$
	$=$	$\displaystyle 243$

Do you have a question?

$\displaystyle \left[400-\left(7+3\cdot2^7\right)\right]:3$	$=$	$\displaystyle \left[400-\left(7+3\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\right)\right]:3$
	↓	Conclude the product
	$=$	$\displaystyle \left[400-\left(7+3\cdot4\cdot4\cdot4\cdot2\right)\right]:3$
	↓	Conclude again
	$=$	$\displaystyle \left[400-\left(7+3\cdot16\cdot4\cdot2\right)\right]:3$
	↓	and conclude...
	$=$	$\displaystyle \left[400-\left(7+3\cdot16\cdot8\right)\right]:3$
	↓	...
	$=$	$\displaystyle \left[400-\left(7+3\cdot128\right)\right]:3$
	↓	... and conclude once more
	$=$	$\displaystyle \left[400-\left(7+384\right)\right]:3$
	↓	Now evaluate the sum
	$=$	$\displaystyle \left[400-391\right]:3$
	↓	Evaluate the difference
	$=$	$\displaystyle 9:3$
	↓	This can easily be divided
	$=$	$\displaystyle 3$