Question

OUESTIONS :-
$1). \: simplify \: \frac{125 \times {8}^{3} \times 1000 }{8 \times {5}^{3} \times {10}^{2} }$
2). Simplify [(9⁴)²×3⁸]×2⁸

3). Find the value of
$\frac{2 \times {5}^{3} \times {13}^{7} }{10 \times {13}^{5} }$
$\red{dont \: give \: the \: copied \:answer}$
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Answer 1

Answer:

the natural world, for example the land, air and water, in which people, animals and plants live

Answer 2

$1). \: simplify \: \frac{125 \times {8}^{3} \times 1000 }{8 \times {5}^{3} \times {10}^{2} }$

$ans). \: \frac{ {5}^{3} \times {8}^{3} \times {10}^{3} }{8 \times {5}^{3} \times {10}^{2} } \\ = {5}^{3 - 3} \times {8}^{3 - 1} \times {10}^{3 - 2} \\ = {5}^{0} \times {8}^{2} \times {10}^{1} \\ = 1 \times 64 \times 10 \\ = 640$

2). Simplify [(9⁴)²×3⁸]×2⁸

$= [ {9}^{4 \times 2} \times {3}^{8} ] \times {2}^{8} \\ = [ {9}^{8} \times {3}^{8} ] \times {2}^{8} \\ = [( {9 \times 3)}^{8} ] \times {2}^{8} \\ = [ {27}^{8} ] \times {2}^{8} \\ = [ {27}^{8} \times {2}^{8} ] \\ = {54}^{8}$

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