Question

Simplify: 25*a to the power of -4*a to the power of 5/5to the power of -3*10*a to the power of -8​

Answer 1

Answer:

$\frac{25 \times {a}^{ - 4} \times {a}^{5} }{ {5}^{ - 3} \times 10 \times {a}^{ - 8} } \\ = \frac{ {5}^{2} \times {a}^{5 - 4} }{ {5}^{ - 3} \times 5 \times 2 \times {a}^{ - 8} } \\ = \frac{ {5}^{2} \times {a}^{1} }{ {5}^{1 - 3}\times 2 \times {a}^{ - 8} } \\ = \frac{ {5}^{2} \times {a}^{1} \times {a}^{8} }{ {5}^{ - 2}\times 2} \\ = \frac{ {5}^{2} \times {5}^{2} \times {a}^{1} \times {a}^{8} }{ 2} \\ = \frac{ {5}^{2 + 2} \times {a}^{1 + 8} }{ 2} \\ = \frac{ {5}^{4} \times {a}^{9} }{ 2} \\ = \frac{ 625 \times {a}^{9} }{ 2} \\ = \frac{ 625{a}^{9} }{ 2}$