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

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Answer 1 · 2015-09-29T01:58:37

See explanation

It is:

$3^{10} - 3^{2}$ $3^10-3^2$

Factor the equation:

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

Factor further:

$= (3^{2}) \cdot (3^{4} - 1)$ $=(3^2)*color(red)((3^4-1))$ $(3^{4} + 1)$ $color(red)((3^4+1))$

$= (3^{2}) \cdot (3^{2} - 1) (3^{2} + 1) (3^{4} + 1)$ $=(3^2)*(3^2-1)(3^2+1)(3^4+1)$

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

Simplify:

$= 59, 040$ $=59,040$

Answer 2 · 2015-09-29T02:47:39

The answer is $59040$ $59040$ .

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

Raise each number to its exponent.

$3^{10} - 3^{2} =$ $3^10-3^2=$

$59049 - 9 =$ $59049-9=$

Subtract.

$59040$ $59040$

How do you simplify 310−323^10-3^2?