Question

what is the value of n so that 4 power 7 ÷ 4 power3 = 4power -2 ÷ 4power 5n-1​

Answer 1

Step-by-step explanation:

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refer to the attachment

Answer 2

$\huge \tt {4}^{7} \div {4}^{3} = {4}^{ - 2} \div {4}^{5n - 1} \\ \\ \huge \tt \frac{{4}^{7} } {{4}^{3} } = \frac {{4}^{ - 2} }{{4}^{5n - 1} } \\ \\ \huge \tt \frac{{4}^{7} } {{4}^{3} } = \frac {{4}^{1 - 5n} }{ {4}^{2} } \\ \\ \huge \tt \frac{{4}^{7} \times {4}^{2} } {{4}^{3} } = {{4}^{1 - 5n} } \\ \\ \huge \tt {4}^{7 + 2 - 3} = {{4}^{1 - 5n} } \\ \\ \huge \tt 6 = 1 - 5n \\ \\ \huge \tt - 5 = 5n \\ \\ \huge \tt n = - 1$