maddirallasamhitha maddirallasamhitha

19-02-2024
Mathematics

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7 power m * 49 power m is 7 power of 12

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sangers1959 sangers1959

19-02-2024

Answer: m=4.

Step-by-step explanation:

[tex]7^m*49^m=7^{12}\\\\7^m*(7^2)^m=7^{12}\\\\7^m*7^{2m}=7^{12}\\\\7^{m+2m}=7^{12}\\\\7^{3m}=7^{12}\\\\Hence,\\\\3m=12\\\\Divide\ both\ sides\ of \ the\ equation\ by \ 3:\\\\m=4.[/tex]

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