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1. 2³ = 2 x 2 x 2

2. (-2)³ = (-2) x (-2) x (-2)

$3. : {2}^{ - 3} = frac{1}{ {2}^{3} } = frac{1}{2} times frac{1}{2} times frac{1}{2}$

$4. : {2}^{3} times {2}^{5} = {2}^{3 + 5} = {2}^{8}$

$5. : {2}^{3} div {2}^{5} = {2}^{3 - 5} = {2}^{ - 2}$

$6. : { ({3}^{2} )}^{4} = {3}^{2 times 4} = {3}^{8}$

$7. : sqrt{50} = sqrt{25 times 2} = sqrt{25} sqrt{2} = 5 sqrt{2}$

$8. : sqrt{5} times sqrt{7} = sqrt{5 times 7} = sqrt{35}$

9. 3 x 4√5 = 12√5

$10. : sqrt{50} div sqrt{5} = sqrt{50 div 5} = sqrt{10}$