Question

Evaluate :
$\frac{25 \times {a}^{ - 4} }{ {5}^{ - 3} \times 10 \times {9}^{ - 8} }$
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Answer 1

Step-by-step explanation:

We have studied procedures for working with fractions in earlier grades.

ab×cd=acbd(b≠0;d≠0)

ab+cb=a+cb(b≠0)

ab÷cd=ab×dc=adbc(b≠0;c≠0;d≠0)

...

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Answer 2

Step-by-step explanation:

$\frac{25 \times {a}^{ - 4} }{ {5}^{ - 3} \times 10 \times {9}^{ - 8} } \\ \frac{ {5}^{2} \times {5}^{3} \times {9}^{8} }{ {a}^{4} \times 5 \times 2 } \\ \frac{ {5}^{6} \times {9}^{8} }{2 {a}^{4} } \\ \frac{15625 \times 43046721}{2 {a}^{4} } \\ \frac{43062346}{2 {a}^{4} } \\ \frac{21531173}{ {a}^{4} }$

It is a simple multiplication and division formulae used are

a^-1 = 1/a

a *a = a^1+1 = a^2

a^2/a^1 = a^2 -1 = a