Question

find the value of m in the given picture

Answer 1

$\\ = 49 \times {( - 7)}^{m} = - 343 \\ \\ = {( - 7)}^{2} \times {( - 7)}^{m} = ( { - 7})^{3} \\ \\ {( - 7)}^{2 + m} = {( - 7)}^{3} \\ \\ 2 + m = 3 \\ \\ m = 1$

Answer 2

Heya!

Here is yr answet.....


$= > 49 \times {( - 7})^{m} = - 343 \\ \\ = > {( - 7})^{2} \times {( - 7})^{m} = { - 7 }^{3} \\ \\ = > { - 7}^{2 + m} = { - 7}^{3} \\ \\ as \: the \: \: bases \: are \: equal \: on \: both \: sides.....then \: their \: powers \: must \: be \: equal \\ \\ \\ = > 2 + m = 3 \\ \\ = > m = 3 - 2 \\ \\ = > m = 1$


Hope it helps...


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