Question

me ajudem por favor valendo nota.​

Answer 1

1)
${6}^{5} \times {6}^{7} = {6}^{5 + 7} = {6}^{12} = 2176782336$

2)
${( - 4)}^{2} \times {( - 4)}^{ - 6} = {( - 4)}^{2 + ( - 6)} = {( - 4)}^{2 - 6} = {( - 4)}^{ - 4} = \frac{1}{ {( - 4)}^{4} } = \frac{1}{256}$

3)
${2}^{3x + 1} \times {2}^{2x - 5} = {2}^{(3x + 1) + (2x - 5)} = {2}^{5x - 4}$

4)
$\frac{ {9}^{8} }{ {9}^{3} } = {9}^{8 - 3} = {9}^{5} = 59049$

5)
$\frac{ {( - 5)}^{ - 3} }{( - 5)} = {( - 5)}^{ - 3 - 1} = {( - 5)}^{ - 4} = \frac{1}{ {( - 5)}^{ -4} } = \frac{1}{625}$

6)
$\frac{ {3}^{2a - 3} }{ {3}^{a + 1} } = {3}^{(2a - 3) - (a + 1)} = {3}^{a - 4}$

7)
${( { - 10}^{2} )}^{9} = { - 10}^{2 \times 9} = { - 10}^{18} = - 1 \times {10}^{18}$

8)
${( {3}^{2} )}^{ - 4} = {3}^{2 \times ( - 4)} = {3}^{ - 8} = \frac{1}{ {3}^{8} } = \frac{1}{6561}$

10)
${( {3}^{2} )}^{4} = {3}^{2 \times 4} = {3}^{8} = 6561$

11)
${(7 \times 3)}^{4} = {7}^{4} \times {3}^{4} = 2401 \times 81 = 194481$

12)
${(2 \times 5)}^{ - 8} = {2}^{ - 8} \times {5}^{ - 8} = \frac{1}{ {2}^{8} } \times \frac{1}{ {5}^{8} } = \frac{1}{256} \times \frac{1}{390625} = \frac{1}{100000000} = 0.00000001$

13)
${( \frac{4}{9} )}^{3} = \frac{ {4}^{3} }{ {9}^{3} } = \frac{64}{729}$

14)
${( \frac{6}{7} )}^{ - 5} = \frac{1}{ {( \frac{6}{7} )}^{5} } = 1 \times {( \frac{7}{6} )}^{ 5 } = {( \frac{7}{6} )}^{ 5 } = \frac{ {7}^{5} }{ {6}^{5} } = \frac{16807}{7776}$