If ( 5/9 )^−5 × ( 9/5 )^4 = ( 5/9 )^4n−13 , the find the value of n.
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Answered by
1
= (5/9)^-5×(9/5)^4=(5/9)^4n-13
= (5/9)^-5×(5/9)^-4=(5/9)^4n-13
= (5/9)^-9=(5/9)^4n-13
= Cancelling bases
= -9=4n-13
= -9+13=4n
= 4 = 4n
= n=4/4
= n=1
_____________.
Answered by
1
Answer:
value of n = 1
Step-by-step explanation:
given that
bases are equal , so powers are also equal
9 = 13 - 4n
4n = 13 - 9
4n = 4
n = 1
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