Question

If 4^m÷4^-3 = 4⁴, then the value of m is

Answer 1

Step-by-step explanation:

4

${4}^{m} \div {4}^{ - 1} = {4}^{4} \\ {4}^{m} = {4}^{4} \times {4}^{ - 1} \\ {4}^{m} = {4}^{4 + ( - 1)} \\ {4}^{m} = {4}^{4 - 3} \\ {4}^{m} = {4}^{1} \\ m = 1$

m is equal to 1 because both sides are same(4)

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