Question

Вычислите 256^1/4 : 32^2/5 - 4

Answer 1

${256}^{ \frac{1}{4} } \div {32}^{ \frac{2}{5} } - 4 = {( {2}^{8} )}^{ \frac{1}{4} } \div { {(2}^{5} )}^{ \frac{2}{5} } - 4 = \\ = {2}^{ \frac{8 \times 1}{4} } \div {2}^{ \frac{5 \times 2}{5} } - 4 = {2}^{2} \div {2}^{2} - 4 = 1 - 4 = \\ = - 3$