Question

find the value of a [(3/13)⁸]³=[3/13]a+1
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Answer 1

$Given \: [\Big(\frac{3}{13}\Big)^{8}]^{3} = \Big(\frac{3}{13}\Big)^{a+1}$

$\implies \Big(\frac{3}{13}\Big)^{8\times 3}= \Big(\frac{3}{13}\Big)^{a+1}$

$\boxed {\pink {Since, (a^{m})^{n} = a^{m\times n } }}$

$\implies \Big(\frac{3}{13}\Big)^{24}= \Big(\frac{3}{13}\Big)^{a+1}$

$\implies 24 = a + 1$

$\boxed {\pink {Since, If \: a^{m} = a^{n} \implies m = n }}$

$\implies a = 24 - 1 = 23$

Therefore.,

$\red { Value \:of \: a } \green {= 23}$

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Answer 2

Answer:

Step-by-step explanation: