2^-1 [(5/3)^4 + (3/5)^-2] ÷ 17/9
Answers
SOLUTION:- [STEP BY STEP]
=(2^-1)[(5/3)^4+(3/5)^-2]÷17/9
= ½[(5/3)^4+(3/5)^-2]÷17/9
= ½[625/81+(9/25)^-2]÷17/9
=½[16354/2025]÷17/9
= ½ ×16354/2025÷17/9
= 8177/2025÷17/9
=481/2025 ÷ 9
=481/18225
[====== > HENCE, AFTER THE THE SIMPLIFICATION THE RESULT IS 481/18225. < ======]
I hope this will help you please mark my answer as brainliest answer.
Step-by-step explanation:
1/2 [( 5/3)^4 + (5/3)^2] ÷17/9
1/2[625/81 +25/9]÷17 /9
1/2[(625 + 225)/81)] ÷17 /9
1/2 × 850/81 × 9/17
Now, you have cancel 9 with 81 and you will get 9 and then cancel 2 with 850 and you will get 425 and then cancel 17 with 425 and you will get 25 so the outcome is :
25/9 = 5^2 / 3^2 ( converted to exponential form) = (5/3)^2
And if it is asked to write it in negative exponent then do the reciprocal :
(3/5)^-2 -----> answer for negative exponent .
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