I Simplify - 1-22 - 1-4 3 -1- 2-3

Given, [ ( 1/2 )^2 ( 1/4 )^3 ]^ 1× 2^ 3 = ( 1/4 1/64)^ 1× 2^ 3 = ( 16 1/64)^ 1× 2^ 3 = ( 15/64)^ 1× 2^ 3 =64/15×1/8 [ ∵ a^ m = 1/a^m] = 8/15 ...

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Question

Question 180(i)

Simplify

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

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Similar questions

Question 180(i)

Simplify

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

Question 180(vi)

Simplify :
$\frac{(3^{- 2})^{2} \times (5^{2})^{- 3} \times (t^{- 3})^{2}}{(3^{- 2})^{5} \times (5^{3})^{(- 2)} \times (t^{- 4})^{3}}$

Question 180(iv)

Simplify

${(\frac{1}{5})}^{45} \times {(\frac{1}{5})}^{- 60} - {(\frac{1}{5})}^{28} \times {(\frac{1}{5})}^{- 43}$

Question 106

Simplify and write the result in decimal form:
$(1 \div \frac{2}{9}) + (1 \div 3 \frac{1}{5}) + (1 \div 2 \frac{2}{3})$

\frac{3 - \sqrt{2}}{3 + \sqrt{2}}

\frac{5 + 2 \sqrt{3}}{7 + 4 \sqrt{3}}

\frac{1 + \sqrt{2}}{3 - 2 \sqrt{2}}

\frac{2 \sqrt{6} - \sqrt{5}}{3 \sqrt{5} - 2 \sqrt{6}}

\frac{4 \sqrt{3} + 5 \sqrt{2}}{\sqrt{48} + \sqrt{18}}

\frac{2 \sqrt{3} - \sqrt{5}}{2 \sqrt{2} + 3 \sqrt{3}}

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