Question

2. Reduza a uma só potência.
a) 2³. 2⁴ . 2⁵. 2⁶
b) 6⁴ : 6²
c) 10⁻¹. 10². 10⁻¹
d) 7¹⁵ : 7¹⁰

Answer 1

Resposta:

$a) \: {2}^{3} \times {2}^{4} \times {2}^{5} \times {2}^{6} \\ = {2}^{3 + 4 + 5 + 6} = {2}^{18}$

$b) \: {6}^{4} \: \div {6}^{2} = {6}^{4 - 2} = {6}^{2}$

$c) \: {10}^{ - 1} \times {10}^{2} \times {10}^{ - 1} = \\ = { \binom{1}{10} }^{1} \times {10}^{2} \: \times { \binom{1}{10} }^{1}$

$= \frac{{1}^{1}}{{10}^{1}} \times {10}^{2} \times \frac{{1}^{1}}{{10}^{1}}$

$= \frac{1}{10} \times {100} \times \frac{1}{10}$

$= \frac{100}{10} \times \frac{1}{10}$

$= \frac{100}{100} = 1$

$d) \: {7}^{15} \div {7}^{10} = {7}^{15 - 10} = {7}^{5}$