Question

Find the value of k:​

Answer 1

Step-by-step explanation:

$8^{-2} *8^{3k+4} =8^{23} \\8^{-2+3k+4} =8^{23} \\8^{3k+2} =8^{23} \\3k+2=23\\3k=23-2\\3k=21\\k=7$

∴ Value of k  = 7

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Answer 2

Answer:

k = 7

Step-by-step explanation:

${8}^{ - 2} \times {8}^{3k + 4} = {8}^{23} \\ {8}^{ - 2 + 3k + 4 } = {8}^{23} \\ {8}^{3k + 2} = {8}^{23} \\ 3k \: + 2 = 23 \\ 3k = 21 \\ k = 7$

For solving such questions , laws of exponents should be kept in mind .