5x^10 y^20 Z^30 × (20xyz)^2
ITS JUST HARD TO UNDERSTAND.
PLEASE EXPLAIN DEAR SMARTIE.
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sorry I didn't get back to you on that one and the other is a simple question is how do you feel about the day
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Step-by-step explanation:
Given :-
5x¹⁰×y²⁰×z³⁰× (20xyz)²
To find:-
Simplify the expression ?
Solution :-
Given expression is 5x¹⁰×y²⁰×z³⁰× (20xyz)²
=> 5×x¹⁰×y²⁰×z³⁰× (20)²×x²×y²×z²
=>5×x¹⁰×y²⁰×z³⁰× 400×x²×y²×z²
=> (5×400)×x¹⁰×y²⁰×z³⁰×x²×y²×z²
=> 2000×x¹⁰×y²⁰×z³⁰×x²×y²×z²
=> 2000×(x¹⁰×x²)×(y²⁰×y²)×(z³⁰×z²)
=> 2000×(x¹⁰+²)×(y²⁰+²)×(z³⁰+²)
Since a^m×a^n = a^(m+n)
=> 2000×(x¹²)×(y²²)×(z³²)
=> 2000×x¹²×y²²×z³²
=> 2000x¹²y²²z³²
Answer:-
The value of the given expression is 2000x¹²y²²z³²
Used formulae:-
- (ab)^m = a^m × b^m
- a^m×a^n = a^(m+n)
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