How do you simplify $3^10-3^2$ ?

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Answer 1 · 2015-09-29T01:58:37

See explanation

It is:

$3^10-3^2$

Factor the equation:

$=color(red)(3^2)*(3^8-1)$ being $3^2$ as the GCF,

Factor further:

$=(3^2)*color(red)((3^4-1))$ $color(red)((3^4+1))$

$=(3^2)*(3^2-1)(3^2+1)(3^4+1)$

$=(3^2)(3-1)(3+1)(3^2+1)(3^4+1)$

Simplify:

$=59,040$

Answer 2 · 2015-09-29T02:47:39

The answer is $59040$ .

PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

Raise each number to its exponent.

$3^10-3^2=$

$59049-9=$

Subtract.

$59040$

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