if (-5)^m+1 x (_5)^5 = (-5)^7, then the value of m is
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Answer:
m=1 ( I didn't understand the (_5)^5 part. Maybe it was minus)
Correct Question:-
Solution:-
[tex] \sf { - 5}^{m + 1} \times { - 5}^{5} = { - 5}^{7} [/tex]
[tex] \sf \implies { - 5}^{m + 1} = \frac{ { - 5}^{7} }{ -{5}^{5} } [/tex]
[tex] \sf \implies { - 5}^{m + 1} = { - 5}^{2}[/tex]
Comparing base,
[tex] \sf \implies m + 1 = 2[/tex]
[tex] \sf \implies m = 1[/tex]
Hence, the value of m is 1.
Answer:-