Simplify the Expression

Algebra Level 1

Simplify this expression: ( 45 x 2 y ) 4 (45x^2y)^4

6 , 804 , 483 x 9 y 3 6,804,483x^9y^3 1 , 450 , 466 x 3 y 5 1,450,466x^3y^5 7 , 890 , 034 x 6 y 2 7,890,034x^6y^2 4 , 100 , 625 x 8 y 4 4,100,625x^8y^4

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3 solutions

Great Bennet, but my advise hide better the answer. For instance you see any number with last digit is 5, no matter what natural power you raise it will come as at a last digit a 5, so you has narrowed the answer too much. In my opinion all proposed alternatives should end with last digit 5.

Hahaha, that's the way i solved it :D

Alviando Hendriawan - 6 years ago
Caleb Townsend
Feb 11, 2015

The powers of x x and y y will be 8 8 and 4 4 respectively. Only one answer contains this term ( x 8 y 4 ) (x^8y^4) , so that must be it.

Galen Buhain
Oct 26, 2017

That question is for kids. Haha

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