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Multiplication of Numbers with Square Roots

Simplify the ...

Question

Simplify the following (25)^3\2 × (243)^3\5 ÷ (16)^5\4 × (8)^4\3

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Solution

(25)^3/2x (243)^3/5/ (16)^5/4x(8)^4/3

= (25^1/2)³x (243^1/5)³/ (16^1/4)⁵x(8^1/3)⁴

= 5³ x 3³ / 2⁵ x 2⁴

= (5 x 3)³ / 2⁽⁵⁺⁴⁾

= (15)³/ (2)⁹

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5 \times 3 \frac{1}{5} \times 4 \frac{1}{3}

Q. Simplify the following

\sqrt[4]{16} - 8 \sqrt[3]{1331} + 18 \sqrt[5]{243} - \sqrt{1296}

{(\frac{243}{32})}^{- \frac{4}{5}}

{(\frac{32}{243})}^{- \frac{1}{5}}

\frac{{(25)}^{\frac{3}{2}} \times {(243)}^{\frac{3}{5}}}{{(26)}^{\frac{5}{4}} \times {(8)}^{\frac{4}{3}}}

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