Question

Find x so that (-2) ˣ⁺¹ ÷ (-2)³ = (-2)⁵​

Answer 1

${( - 2)}^{x + 1} \div {( - 2)}^{3} = {( - 2)}^{5} \\ \\ = > \frac{ {( - 2)}^{x + 1} }{ {( - 2)}^{3} } = {( - 2)}^{5} \\ \\ = > {( - 2)}^{x + 1 - 3} = {( - 2)}^{5}$

On comparing :

$x + 1 - 3 = 5 \\ \\ = > x = 5 + 2 \\ \\ = > x = 7$

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Hope it helps ☺

Fóllòw Më ❤