Question

correct answer is 125
Please Explain step by step solution.​

Answer 1

$\large\sf\underline{Question\::}$

The value of $\sf\:[2-3(2-3) ^{3}]^{3}$ is :

• 5

‎ ⠀⠀${\sf{{\pink{☑}}}}$ 125

• $\sf\:\frac{1}{5}$

• - 125

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$\large\sf\underline{To\:find\::}$

• Value of the given expression.

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$\large\sf\underline{Concept\:to\:be\:used\::}$

For solving this question we will follow the rule of BODMAS. The BODMAS rule gives us a certain order in which an expression with several mathematical operation must be solved . According to this rule we first need to simplify the expression inside brackets following order of exponents. Then thirdly Division should be done followed by multiplication , addition and subtraction. Let's apply this rule in this question !

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$\large\sf\underline{Solution\::}$

$\sf\:[2-3(2-3) ^{3}]^{3}$

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• Solving the expression inside brackets ()

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$\sf\implies\:[2-3(-1) ^{3}]^{3}$

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Now simplifying $\sf\:(-1)^{3}$

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• $\sf\:(-1)^{3} = (-1 \times -1 \times -1) = (1 \times -1) = -1$

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$\sf\implies\:[2-3(-1)]^{3}$

$\sf\implies\:[2-3 \times (-1) ]^{3}$

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• Carrying out BODMAS inside [] brackets

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$\sf\implies\:[2- (-3)]^{3}$

$\sf\implies\:[2+3]^{3}$

$\sf\implies\:[5]^{3}$

$\sf\implies\:5 \times 5 \times 5$

$\small{\underline{\boxed{\mathrm\red{\implies\:125}}}}$ ✧

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$\dag\:\underline{\sf So\:the\:required\:value\:is\:125\:.}$

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!! Hope it helps !!