Question

Ch Exponent
The answer is ➡️-32/25
I need the process​

Answer 1

$\bf \huge {\underline {\underline \red{AnSwEr}}}$

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$\bf \pink{\implies \: (\frac{ - 2}{5} ) {}^{2} \times {( \frac{5}{7} }^{2} ) \times \frac{49}{5} + ( \frac{ - 4}{5} ) {}^{3} \times \frac{5}{4} \times \frac{3}{4} }$

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$\bf \purple{\implies \frac{4}{25} \times {( \frac{5}{7} }^{2} ) \times \frac{49}{5} + ( \frac{ - 4}{5} ) {}^{3} \times \frac{5}{4} \times \frac{3}{4}}$

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$\bf \pink{\implies \frac{4}{25} \times \frac{25}{49} \times \frac{49}{5} + ( \frac{ - 4}{5} ) {}^{3} \times \frac{5}{4} \times \frac{3}{4}}$

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$\bf \purple{\implies\frac{4}{25} \times \frac{25}{49} \times \frac{49}{5} - \frac{ 64}{125} \times \frac{5}{4} \times \frac{3}{4} }$

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$\bf \pink {\implies 4 \times \frac{1}{1} \times \frac{1}{5} - \frac{16}{25} \times \frac{3}{4} }$

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$\bf \purple {\implies 4 \times \frac{1}{5} - \frac{16}{25} \times \frac{3}{4} }$

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$\bf \pink {\implies \frac{4}{5} - \frac{4}{25} \times 3 }$

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$\bf \purple {\implies \frac{4}{5} - \frac{12}{25} }$

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$\bf \pink {\implies \frac{20 - 12}{25} }$

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$\bf \purple {\implies \frac{8}{25} }$

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Alternate form

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$\bf \pink {\implies 0.32}$

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Additionally :

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Basic steps for simplifying :-

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• Remove parentheses by multiplying factors.

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• Use exponent rules to remove parentheses in terms with exponents.

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• Combine like terms by adding coefficients.

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• Combine the constants.

Answer 2

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\bf \purple{\implies \frac{4}{25} \times {( \frac{5}{7} }^{2} ) \times \frac{49}{5} + ( \frac{ - 4}{5} ) {}^{3} \times \frac{5}{4} \times \frac{3}{4}}⟹254×(752)×549+(5−4)3×45×43

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\bf \pink{\implies \frac{4}{25} \times \frac{25}{49} \times \frac{49}{5} + ( \frac{ - 4}{5} ) {}^{3} \times \frac{5}{4} \times \frac{3}{4}}⟹254×4925×549+(5−4)3×45×43

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\bf \purple{\implies\frac{4}{25} \times \frac{25}{49} \times \frac{49}{5} - \frac{ 64}{125} \times \frac{5}{4} \times \frac{3}{4} }⟹254×4925×549−12564×45×43

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\bf \pink {\implies 4 \times \frac{1}{1} \times \frac{1}{5} - \frac{16}{25} \times \frac{3}{4} }⟹4×11×51−2516×43

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\bf \purple {\implies 4 \times \frac{1}{5} - \frac{16}{25} \times \frac{3}{4} }⟹4×51−2516×43

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\bf \pink {\implies \frac{4}{5} - \frac{4}{25} \times 3 }⟹54−254×3

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\bf \purple {\implies \frac{4}{5} - \frac{12}{25} }⟹54−2512

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frac{20 - 12}{25} }⟹2520−12

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frac{8}{25} }⟹258

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Alternate form

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0.32}⟹0.32

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Additionally :

⠀⠀⠀⠀⠀⠀

Basic steps for simplifying :-

⠀⠀⠀⠀⠀⠀

Remove parentheses by multiplying factors.

⠀⠀⠀⠀⠀⠀

Use exponent rules to remove parentheses in terms with exponents.

⠀⠀⠀⠀⠀⠀

Combine like terms by adding coefficients.

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Combine the constants.