Question

5 to the power of minus 4 by 5 ^ - 6 into 5 ^ 3​

Answer 1

Solution :-

$\large \implies \sf \dfrac{ {(5)}^{ - 4} }{ {(5)}^{ - 6} } \times {(5)}^{3}$

$\large \implies \sf {(5)}^{( - 4) - ( - 6)} \times {(5)}^{3}$

$\large \implies \sf {(5)}^{2} \times {(5)}^{3}$

$\large \implies \sf {(5)}^{2 + 3}$

$\large \implies \sf {(5)}^{5}$

$\large \implies \sf25$

Identity Used :-

$\large \implies \sf\dfrac{ {m}^{a} }{ {m}^{b} } = {m}^{a - b}$

$\large \implies \sf {m}^{a} \times {m}^{b} = {m}^{a + b}$

Answer 2

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