Question

please solve it faster​

Answer 1

Answer:

33 is the correct answer

Answer 2

Required Answer:-

Given To Evaluate:

• $\sf \bigg\{ {5}^{2} + {(8)}^{{}^{1}/_{3}} \bigg \}^{3}$

Solution:

Given that,

$\sf = \bigg\{ {5}^{2} + {(8)}^{{}^{1}/_{3}} \bigg \}^{3}$

$\sf = \bigg\{25 + {(8)}^{{}^{1}/_{3}} \bigg \}^{3} \: \: \: \blue{ \bigg( {5}^{2} = 5 \times 5 = 25 \bigg)}$

$\sf = \bigg\{25 + {( {2}^{3} )}^{{}^{1}/_{3}} \bigg \}^{3}$

$\sf = \bigg\{25 + (2)^{3 \times {}^{1}/_{3}} \bigg \}^{3} \: \: \: \blue{ \bigg(( {x}^{y} )^{z} = {x}^{yz} \bigg) }$

$\sf = \big\{25 + {2}^{1} \big \}^{3}$

$\sf = \big\{25 +2\big \}^{3}$

$\sf = (27)^{3}$

$\sf = 19683$

→ Therefore, result after evaluation is 19683.

Answer:

• 19683

Formula Used:

• aⁿ = a × a × a × ... n times.
• (aˣ)ʸ = aˣʸ.

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