Question

Find the value for n : 5^-3 x 5^n = 5^4​

Answer 1

Answer:

n = 7

Step-by-step explanation:

${5}^{ - 3} \times {5}^{n} = {5}^{4} \\ since \: the \: bases \: are \: equal \: so \: powers \: will \: add \: together \\ 5 ^{ - 3 + n} = {5}^{4} \\ if \: bases \: are \: equal \: then \: powers \: will \: also \: equal \\ - 3 + n = 4 \\ n = 4 + 3 \\ n = 7$

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