Question

Simplify the expression.

Answer 1

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

• $\sf\:\frac{[(3+1) ^{2}]^{3}}{(7-3) ^{2}}$

Options :-

• A : 3

• B : 6

• C : 12

• D : 256 ☑

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

• The simplified value of the given expression is $\large{\mathfrak\purple{256}}$ .

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$\large\bf\underline{Step\:wise\:calculation\::}$

$\sf\:\frac{[(3+1) ^{2}]^{3}}{(7-3) ^{2}}$

• Calculating the terms inside () brackets

$\sf\longrightarrow\:\frac{[(4) ^{2}]^{3}}{(4) ^{2}}$

• Removing () brackets

$\sf\longrightarrow\:\frac{[4^{2}]^{3}}{4^{2}}$

$\sf\longrightarrow\:\frac{[16]^{3}}{16}$

$\sf\longrightarrow\:\frac{4096}{16}$

• Reducing it to lower terms

$\sf\longrightarrow\:\cancel{\frac{4096}{16}}$

$\small{\underline{\boxed{\mathrm\red{\longrightarrow\:256}}}}$ ★

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!! Hope it helps !!‎