Question

Calculaţi: a) (-10);⁴ b) [1,(6)]³; c) (2√7)².​

Answer 1

Explicație pas cu pas:

${( - 10)}^{4} = {10}^{4} = 10000$

${(1.(6))}^{3} = { \Big( \dfrac{16 - 1}{9} \Big)}^{3} = { \Big( \dfrac{15}{9} \Big)}^{3} = { \Big( \dfrac{5}{3} \Big)}^{3} = \dfrac{ {5}^{3} }{ {3}^{3} } = \dfrac{125}{27}$

${(2 \sqrt{7} )}^{2} = {2}^{2} \cdot {( \sqrt{7} )}^{2} = 4 \cdot 7 = 28$