Question

Can someone please answer this question? If you do it right, I will mark you as brainliest

Answer 1

Answer:

the answer of the question above is 168.459

Answer 2

$\sf{\underline{\underline{ \purple{ \huge{Question:}}}}}$

${\blue{\star}{\sf{{ \bigg[}{(1331)}^{ \frac{1}{3} } { \bigg]}}^{4} }}$

$\\ \\ \\ \sf{\underline{\underline{ \purple{ \huge{Solution:}}}}}$

$\\ { \blue{ \star}}{\sf{{ \bigg[}{(1331)}^{ \frac{1}{3} } { \bigg]}}^{4} }$

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Now, we know that 11 × 11 × 11 = 1331

➙ 11³ = 1331, so

$\\ \\ \implies {\sf{{ \bigg[}{({(11)}^{3} )}^{ \frac{1}{3} } { \bigg]}}^{4} }$

$\\ \\ \implies {\sf{{ \bigg[}{({11)}^{3 } }^{ \times \frac{1}{3} } { \bigg]}}^{4} }$

$\\ \\ \implies {\sf{{ \bigg[}{({11)} }^{ \frac{ \cancel3}{ \cancel3} } { \bigg]}}^{4} }$

$\\ \\ \implies \sf{(11)}^{4}$

$\\ \\ \implies \sf{11 \times 11 \times 11 \times 11}$

$\\ \\ \implies \sf{121 \times 11 \times 11}$

$\\ \\ \implies \sf{1331 \times 11}$

$\\ \\ \implies \sf{14641}$

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$\therefore{ \sf{After \: simplifying \: we \: get \: = {\green{ \underline{ \boxed{ \sf{14641}}}}}}}$

$\\ \\ \\ \sf{\underline{\underline{ \purple{ \huge{More:}}}}}$

Here 1331 is called the base, and 1/3 and 4 are its powers.

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11 × 11 × 11 can be written as 11³. Here 11 is the base and 3 is the exponent or index. 11³ is read as 11 to power 6.

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• First we have simplied 1331 as 11³ = 1331 then, we have multiplied both the powers with each other. After that we are left with 11⁴ which we have evaluated and then found the answer out.

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