3^-8×10^-5×125/5^-4×18^-5 please find the answer
Answers
Answered by
3
Solution :
( 3^-8 × 10^-5 × 125 )/( 5^-4 × 18^-5 )
****************************
We know the algebraic identity :
a^-n = 1/aⁿ
****************************
= ( 5⁴ × 18^5 × 125 )/( 3^8 × 10^5 )
= [ 5⁴ × 2^5 × 3^10 × 5³ ]/( 3^8 × 2^5 ×5^5)
= ( 5^7 × 2^5 × 3^10 )/( 3^8 × 2^5 × 5^5 )
= 5² × 3²
= 25 × 9
= 225
••••
( 3^-8 × 10^-5 × 125 )/( 5^-4 × 18^-5 )
****************************
We know the algebraic identity :
a^-n = 1/aⁿ
****************************
= ( 5⁴ × 18^5 × 125 )/( 3^8 × 10^5 )
= [ 5⁴ × 2^5 × 3^10 × 5³ ]/( 3^8 × 2^5 ×5^5)
= ( 5^7 × 2^5 × 3^10 )/( 3^8 × 2^5 × 5^5 )
= 5² × 3²
= 25 × 9
= 225
••••
Similar questions