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Properties of Cube Root of a Complex Number

Evaluate:iii...

Question

Evaluate:
(iii) $5^{3} \times 3^{2} + (17)^{0} \times 7^{3}$

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Solution

Given : $5^{3} \times 3^{2} + (17)^{0} \times 7^{3}$
On further simplification , we have
$= 5 \times 5 \times 5 \times 3 \times 3 + (17)^{0} \times 7 \times 7 \times 7$
$= 125 \times 9 + 1 \times 343$ [ $∵$ $a^{0} = 1$ ]
$= 1125 + 343$
$= 1468$
Hence, $5^{3} \times 3^{2} + (17)^{0} \times 7^{3} = 1468$ .

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Properties of Cube Root of a Complex Number

Standard XI Mathematics

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