Simplify-i 223-215ii 1322

(i) #160; 2^23.2^15 =2^23+15 =2^1315 (ii) #160; ( 13^2)^2 =13^4 =181 ...

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Expansion of (a ± b ± c)²

Simplify:i ...

Question

Simplify:
(i) $2^{\frac{2}{3}} {.2}^{\frac{1}{5}}$
(ii) ${(\frac{1}{3^{2}})}^{2}$

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Solution

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Simplify:

(i) (ii) (iii)

(iv)

(3^{2} + 2^{2}) \times {(\frac{1}{2})}^{3}

(3^{2} - 2^{2}) \times {(\frac{2}{3})}^{- 3}

[{(\frac{1}{3})}^{- 3} - {(\frac{1}{2})}^{- 3}] \div {(\frac{1}{4})}^{- 3}

(2^{2} + 3^{2} - 4^{2}) \div {(\frac{3}{2})}^{2}

(2 \sqrt{3} - 5 \sqrt{2}) and (\sqrt{3} + 2 \sqrt{2})

(2 \sqrt{2} + 5 \sqrt{3} - 7 \sqrt{5}) and (3 \sqrt{3} - \sqrt{2} + \sqrt{5})

(\frac{2}{3} \sqrt{7} - \frac{1}{2} + 6 \sqrt{11}) and (\frac{1}{3} \sqrt{7} + \frac{3}{2} \sqrt{2} - \sqrt{11})

(4 + \sqrt{2}) (4 - \sqrt{2})

(\sqrt{5} + \sqrt{3}) (\sqrt{5} - \sqrt{3})

(6 - \sqrt{6}) (6 + \sqrt{6})

(\sqrt{5} - \sqrt{2}) (\sqrt{2} - \sqrt{3})

{(\sqrt{5} - \sqrt{3})}^{2}

{(3 - \sqrt{3})}^{2}

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