Question

simplify 8-¹ * 5³/2-⁴ *25​

Answer 1

Answer:

${8}^{ - 1} \times \frac{ {5}^{3} }{ {2}^{ - 4} } \times 25 \\ = \frac{1}{ {8}^{1} } \times {5}^{3} \times {2}^{4} \times {5}^{2} \\ = \frac{1}{ {2}^{3} } \times {5}^{3} \times {2}^{4} \times {5}^{2} \\ = {(5)}^{3 + 2} \times {(2)}^{4 - 3} \\ \boxed{= \underline{ \underline{ \large \bf{5}^{5} \times {2}^{1} }}}$