Evaluate- 2-72 - 7-2 - 3 - 7-5 - 2 - 4

( 27)^2×( 72)^ 3÷( ( 75)^ 2)^ 4 ( 27)^2×( 27)^3÷( 75)^( 8) = ( 27)^5÷( 57)^8 = ( 27)^5×( 78)^8 = 2^57^5×7^88^8 = 328 ×8^7 ...

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Byju's Answer

Standard IX

Mathematics

Laws of Exponents for Real Numbers

Evaluate:- ...

Question

Evaluate:-
${(\frac{2}{7})}^{2} \times {(\frac{7}{2})}^{- 3} \div {{(\frac{7}{5})}^{- 2}}^{- 4}$

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Solution

${(\frac{2}{7})}^{2} \times {(\frac{7}{2})}^{- 3} \div {({(\frac{7}{5})}^{- 2})}^{- 4}$
${(\frac{2}{7})}^{2} \times {(\frac{2}{7})}^{3} \div {(\frac{7}{5})}^{(- 8)}$
$= {(\frac{2}{7})}^{5} \div {(\frac{5}{7})}^{8}$
$= {(\frac{2}{7})}^{5} \times {(\frac{7}{8})}^{8}$
$= \frac{2^{5}}{7^{5}} \times \frac{7^{8}}{8^{8}}$
$= \frac{32}{8 \times 8^{7}} \times 7^{8 - 5}$
$= \frac{4}{8 \times 8^{5}} \times 7$
$= \frac{7^{3}}{8^{6} \times 2}$

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Evaluate:-(27)2×(72)−3÷{(75)−2}−4

(27)2×(72)−3÷((75)−2)−4(27)2×(27)3÷(75)(−8)=(27)5÷(57)8=(27)5×(78)8=2575×7888=328×87×78−5=48×85×7=7386×2

Evaluate:-
${(\frac{2}{7})}^{2} \times {(\frac{7}{2})}^{- 3} \div {{(\frac{7}{5})}^{- 2}}^{- 4}$