Simplify- 4 5 - 125 64 - 75 48 - 5 4 - 64 125 - 48 75

[ We have; 4 5 ×( 125 64 + 75 48 #160; ) × 5 4 ×( 64 125 + 48 75 #1 ...

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Question

Simplify: $\frac{4}{5} \times (\frac{125}{64} + \frac{75}{48}) \times \frac{5}{4} \times (\frac{64}{125} + \frac{48}{75})$

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Simplify : [3 MARKS]

$\frac{3^{8} \times 4^{5} \times 3^{2} \times 5^{4} \times 7^{5}}{3^{9} \times 4^{4} \times 7^{5}}$

(i) \sqrt{45} - 3 \sqrt{20} + 4 \sqrt{5} (i i) \frac{\sqrt{24}}{8} + \frac{\sqrt{54}}{9} (i i i) 4 \sqrt{12} \times 7 \sqrt{6}

[8^{- \frac{2}{3}} \times 2^{\frac{1}{2}} \times 25^{- \frac{5}{4}}] \div [32^{- \frac{2}{5}} \times 125^{- \frac{5}{6}}] = \sqrt{2}

{(\frac{64}{125})}^{- \frac{2}{3}} + \frac{1}{{(\frac{256}{625})}^{\frac{1}{4}}} + \frac{\sqrt{25}}{\sqrt[3]{64}} = \frac{65}{16}

{[7 {\{{(81)}^{\frac{1}{4}} + {(256)}^{\frac{1}{4}}\}}^{\frac{1}{4}}]}^{4} = 16807

(\frac{4 + \sqrt{5}}{4 - \sqrt{5}} + \frac{4 - \sqrt{5}}{4 + \sqrt{5}})

5^{4} \div 5^{3}

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