Question

Simplify the following:

Answer 1

Answer:

1.) ans:- 1

Step-by-step explanation:

3⁵×10⁵×25 / 5⁷×6⁵

= 3⁵×(5×2)⁵×(5×5)/ (5×1)⁷×(3×2)⁵

=3⁵×5⁵×2⁵×5×5 / 5⁷×3⁵×2⁵

=5⁵×5² / 7

=5⁵+² / 5⁷

=5⁷/5⁷

=5⁰

=1

Answer 2

Answer:

$i) \: \frac{ {3}^{5} \times {10}^{5} \times 25}{ {5}^{7} \times {6}^{5} } = \frac{ {3}^{5} \times {5}^{5} \times {2}^{5} \times {5}^{2} }{ {5}^{7} \times {3}^{5} \times {2}^{5} } \\ deleting \: the \: same \: term \: from \: numerator \: and \: denominator \: \\ = \frac{1}{1} = 1$

$ii) \: next \: step \: of \: the \: question \: is \: \\ \frac{ {3}^{9} \times {5}^{6} \times {2}^{14} \times {3}^{10} }{ {5}^{5} \times {2}^{12} \times {3}^{6} } \\ deleting \: same \: term \: \\ \frac{ {3}^{3} \times 5 \times {2}^{2} \times {3}^{10} }{1} = {3}^{13} \times 5 \times 4 = 1,594,323 \times 20 = 31,886,460$