Question

a) 2la puterea5 × 4la puterea13 × 8la puterea50=?

b) 3la puterea6 × 27la puterea20 × 9la puterea 33=?

VA ROG REPEDE! ​

Answer 1

Răspuns:

${2}^{5} \times {4}^{13} \times {8}^{50} = {2}^{5} \times {2}^{2 \times 13} \times {2}^{3 \times 50} = \\ = {2}^{5} \times {2}^{26} \times {2}^{150} = {2}^{181} \\ {3}^{6} \times {27}^{20} \times {9}^{33} = {3}^{6} \times {3}^{3 \times 20} \times {3}^{2 \times 33} = \\ = {3}^{6} \times {3}^{60} \times {3}^{66} = {3}^{132}$