Question

please tell the answer with simplification​

Answer 1

Answer:

625 a³ / 2

Step-by-step explanation:

(25 × a⁻⁵)  / ( 5⁻³ × 10 × a⁻⁸ )

= (5×a⁻⁵)  / ( 5⁻³ × 2 ×a⁻⁸)

= (5¹⁻⁽⁻³⁾ × a⁻⁵⁻⁽⁻⁸⁾)  /   2

= 5⁴ × a³ /2

= 625 a³ ÷ 2

Answer 2

$\bf{ \huge \: \underline{ \underline{Question }}\: : }$

$\\ \sf \: Simplify \ \: : \: \frac{25 \times {a}^{ - 5} }{ {5}^{ - 3} \times 10 \times {a}^{ - 8} }$

$\\ \bf{ \huge \: \underline{ \underline{Answer}}\: : }$

$\\ \sf \: \frac{25 \times {a}^{ - 5} }{ {5}^{ - 3} \times 10 \times {a}^{ - 8} }$

$\\\\ \sf25 \implies 5×5 \implies {5}^{2}$

$\\ \sf \: =\frac{ {5}^{2} \times {a}^{ - 5} }{ {5}^{ - 3} \times 10 \times {a}^{ - 8} }$

$\\\sf \: = \frac{ {5}^{2} }{ {5}^{ - 3} } \times \frac{1}{10} \times \frac{ {a}^{ - 5} }{ {a}^{ - 8} }$

$\\ \boxed{ \large\tt \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} }$

$= \tt{5}^{2 - ( - 3)} \times \frac{1}{10} \times {a }^{ - 5 - ( - 8)}$

$= \tt{5}^{2 + 3} \times \frac{1}{10} \times {a }^{ - 5 + 8}$

$\\ \sf \: \: Taking \: \: one \: \: 5 \: \: out \: \: from \: , \: 5⁵.$

$= \tt{5}^{4} \times 5 \times \frac{1}{ {10}} \times {a }^{ 3}$

$\\ \sf \: Canceling \: \: 5 \: \: and \: \: 10 \: \: by \: \: 5.$

$= \tt{5}^{4} \times \boxed 5 \times \frac{1}{ \boxed{10}} \times {a }^{ 3}$

$= \tt{5}^{4} \times \boxed 1 \times \frac{1}{ \boxed{2}} \times {a }^{ 3}$

$= \tt{5}^{4} \times \frac{1}{ {2}} \times {a }^{ 3}$

$= \underline{\underline{ \sf \frac{ {5}^{4} {a}^{3} }{2}}}$

$\\ \\ \bf \: Hope~~this~~helps~~you~!$