Solve- 925-3-2-753-81491-2

(925)^ 3/2×(75)^3×(8149)^1/2=(259)^3/2×(75)×(8149)^1/2=(5^23^2)^3/2×(75)^3×(9^27^2)^1/2 #160; #160; #160; #160; #160; #160; #160; # ...

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Numbers in General Form

Solve: 925-3...

Question

Solve:
${(\frac{9}{25})}^{- 3 / 2} \times {(\frac{7}{5})}^{3} \times {(\frac{81}{49})}^{1 / 2}$

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Solution

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(i) {(\frac{27}{125})}^{\frac{2}{3}} \times {(\frac{9}{25})}^{- \frac{3}{2}}

(i i) 7^{0} \times {(25)}^{- \frac{3}{2}} - 5^{- 3}

(i i i) {(\frac{16}{81})}^{- \frac{3}{4}} \times {(\frac{49}{9})}^{\frac{3}{2}} \div {(\frac{343}{216})}^{\frac{2}{3}}

50 \frac{1}{2} \times 49 \frac{1}{2}

{(\frac{81}{16})}^{- \frac{3}{4}} \times ⎡ ⎣ {(\frac{25}{9})}^{- \frac{3}{2}} \div {(\frac{5}{9})}^{- 3} ⎤ ⎦

{(\frac{81}{16})}^{- 3 / 4} \times {(\frac{25}{9})}^{\frac{- 3}{2}}

Simplify: ${(\frac{81}{16})}^{\frac{- 3}{4}} \times {(\frac{25}{9})}^{\frac{- 3}{2}}$

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