1.
[tex] {343}^{ \frac{2}{3} } - {256}^{ \frac{1}{4} } + {81}^{ \frac{3}{4} } = {( {7}^{3} })^{ \frac{2}{3} } - ( {4}^{4} )^{ \frac{1}{4} } + { ({3}^{4} })^{ \frac{3}{4} } [/tex]
[tex]{( {7}^{3} })^{ \frac{2}{3} } - ( {4}^{4} )^{ \frac{1}{4} } + { ({3}^{4} })^{ \frac{3}{4} } = {7}^{ \frac{6}{3} } - {4}^{ \frac{4}{4} } + {3}^{ \frac{12}{4} } [/tex]
[tex]{7}^{ \frac{6}{3} } - {4}^{ \frac{4}{4} } + {3}^{ \frac{12}{4} } = {7}^{2} - 4 + {3}^{3} [/tex]
[tex]{7}^{2} - 4 + {3}^{3} = 49 - 4 + 27[/tex]
[tex]49 - 4 + 27 = 72[/tex]
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1.
[tex] {343}^{ \frac{2}{3} } - {256}^{ \frac{1}{4} } + {81}^{ \frac{3}{4} } = {( {7}^{3} })^{ \frac{2}{3} } - ( {4}^{4} )^{ \frac{1}{4} } + { ({3}^{4} })^{ \frac{3}{4} } [/tex]
[tex]{( {7}^{3} })^{ \frac{2}{3} } - ( {4}^{4} )^{ \frac{1}{4} } + { ({3}^{4} })^{ \frac{3}{4} } = {7}^{ \frac{6}{3} } - {4}^{ \frac{4}{4} } + {3}^{ \frac{12}{4} } [/tex]
[tex]{7}^{ \frac{6}{3} } - {4}^{ \frac{4}{4} } + {3}^{ \frac{12}{4} } = {7}^{2} - 4 + {3}^{3} [/tex]
[tex]{7}^{2} - 4 + {3}^{3} = 49 - 4 + 27[/tex]
[tex]49 - 4 + 27 = 72[/tex]