Question

02) Efetue as multiplicações:
a) 9.10⁹.2.10‐⁴. 0,5.10³ =

b) 9.10⁹.2. 10⁵. 12,5.10-⁶ =

c) 15.10-⁹.2.10-⁹. 12. 10⁴ = ​

Answer 1

a)

$9 \times {10}^{9} \times 2 \times {10}^{ - 4} \times 0.5 \times {10}^{3} \\ (9 \times 2 \times 0.5) \times ( {10}^{9} \times {10}^{ - 4} \times {10}^{3} ) \\ 9 \times {10}^{9 + ( - 4) + 3} \\ 9 \times {10}^{8}$

b)

$9 \times {10}^{9} \times 2 \times {10}^{5} \times 12.5 \times {10}^{ - 6} \\ (9 \times 2 \times 12.5) \times ( {10}^{9} \times {10}^{5} \times {10}^{ - 6} ) \\ 225 \times {10}^{9 + 5 + ( - 6)} \\ 225 \times {10}^{8} \\ 2.25 \times {10}^{10}$

c)

$15 \times {10}^{ - 9} \times 2 \times {10}^{ - 9} \times 12 \times {10}^{4} \\ (15 \times 2 \times 12) \times ( {10}^{ - 9} \times {10}^{ - 9} \times {10}^{4} ) \\ 360 \times {10}^{ - 9 + ( - 9) + 4} \\ 360 \times {10}^{ - 14} \\ 3.6 \times {10}^{ - 12}$