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#