Question

Please prove 10 (iii).

Answer 1

$(7(( {81}^{ \frac{1}{4} } ) +( {256}^{ \frac{1}{4} } ) \frac{1}{4} )^4 \\ \\ \\ = (7(( {3}^{ \frac{4}{4} } ) +( {4}^{ \frac{4}{4} } ) \frac{1}{4} )^4 \\ \\ =(7(3 + 4)^ \frac{1}{4} )^4 \\ \\ \\ = 7^4 \times (\sqrt[4]{7} )^4 \\ \\ \\ \\ = 7 \times 7 \times 7 \times 7 \times 7 \\ \\ = 16807$
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