Question

Find the value of m, if 343^ =

49
/7^​

Answer 1

Answer:

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Answer 2

Answer:

m = $\frac{1}{2}$

Step-by-step explanation:

$343^{m} = \frac{49}{7^{m} }$

$343^{m} = \frac{7^{2} }{7^{m} }$ [ $\frac{a^{m} }{a^{n} }$ = $a^{m-n}$ ]

$343^{m} = 7^{2-m}$

$(7^{3})^{m} = 7^{2-m}$ [ $(a^{m})^{n} = a^{mn}$ ]

$7^{3m} = 7^{2-m}$

$3m = 2 -m$

$2 = m + 3m$

$2 = 4m$

$m = \frac{2}{4}$

$m = \frac{1}{2}$

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