Math, asked by ekamj334261, 10 months ago

simplify each of the following

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Answered by Anonymous

Step-by-step explanation:

1)( 1/2 × 5/1)^2

5/2^2 × -5/8

5/2 × 5/2 × 8/-5

200/-20

-10.......

2) 2/3^7×5. 2/3^ -35

= 2/3 ^0

= 1....

Marks as brainlist.......

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Answered by Arceus02

(i) ${( {2}^{ - 1} \div {5}^{- 1} )}^{2} \times {( \frac{ - 5}{8} )}^{ - 1}$

$⟶ {( \frac{1}{2} \div \frac{1}{5}) }^{2} \times \frac{ - 8}{5}$

$⟶ {( \frac{1}{2} \times 5)}^{2} \times \frac{ - 8}{5}$

$⟶ { (\frac{5}{2}) }^{2} \times \frac{ - 8}{5}$

$⟶ \frac{5 \times 5}{2 \times 2} \times \frac{ - 2 \times 2 \times 2}{5}$

$⟶ 5 \times - 2$

$⟶\sf{\huge{\red{\boxed{\boxed{ - \:10}}}}}$

(ii)

${( { (\frac{2}{3}) }^{7} )}^{5} \times {( \frac{2}{3} )}^{ - 35}$

$⟶ {( \frac{2}{3} )}^{7 \times 5} \times {( \frac{2}{3} )}^{ - 35}$

$⟶ {( \frac{2}{3}) }^{35} \times {( \frac{2}{3}) }^{ - 35}$

$⟶ {( \frac{2}{3}) }^{35 + ( - 35)}$

$⟶ {( \frac{2}{3} )}^{35 - 35}$

$⟶ {( \frac{2}{3}) }^{0}$

$⟶ \sf{\huge{\orange{\boxed{\boxed{1}}}}}$

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