Question

Find the value of m for which (-7)^m-2×(-7)⁵=(-7)⁹​

Answer 1

Answer:

m = 6

Step-by-step explanation:

${( - 7)}^{m - 2} \times {( - 7)}^{5} = {( - 7)}^{9} \\ {( - 7)}^{m - 2 + 5} = {( - 7)}^{9} \\ {( - 7)}^{m + 3} = {( - 7)}^{9} \\ bases \: are \: same \: powers \: to \: be \: equated \\ m + 3 = 9 \\ m = 9 - 3 \\ m = 6$

Hope you get your answer