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October 28, 2016 by avap2016

Exponents

what is the difference between $2^3$ and $3^2$ ?:

$2^3$ is 2 multiplied by itself 3 times.

$3^2$ is 3 multiplied by itself 2 times.

$2^3$ = $2\cdot2\cdot2$ = 8

$3^2$ = $3\cdot3$ = 9

$2^3$ is very different from $2\cdot3$ Because it is a repeated addition, whereas $2^3$ is a repeated multiplication.

$3^2$ is very different from $3\cdot2$ because it is a repeated addition and again, $3^2$ is a repeated multiplication.

$2\cdot3$ = 6 and $3\cdot 2$ = 6 also. They are the same because they are both multiplications, but as exponents, they are very different.