Question

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Answer 1

625a^10

Step-by-step explanation:

15625a^7/25 =a^3

625a^3

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Answer 2

$\tt \large{ \frac{8 ^{6} \times {a}^{7} }{25 \times {a}^{3} }}$

$\tt{ = \frac{{5}^{6} {a}^{7}}{25^{1} {a}^{3}}}$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$\tt{ = \frac{5^{6} {a}^{7 - 3}}{25^{1} } =\frac{ {5}^{6}a^{4} }{25^{1}} = \frac{15625a^{4} }{25^{1} } }$

$\bf{ = 625 {a}^{4} }$