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

2 Answers

Answer:

See explanation

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#

Sep 29, 2015

Answer:

The answer is #59040# .

Explanation:

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

Raise each number to its exponent.

#3^10-3^2=#

#59049-9=#

Subtract.

#59040#