Question

Do all questions fast​

Answer 1

1.

${9}^{4} = 6561 \\ {9}^{3} = 729 \\ {9}^{7} = 4782969$

${9}^{4} \times {9}^{3} = {9}^{7} \\ {9}^{(4 + 3)} = {9}^{7} \\ {9}^{7} = {9}^{7}$

2.

${12}^{2} \times {12}^{4} = {12}^{(2 + 4)} = {12}^{6} = 2985984$

3.

${( - 19)}^{6} \times {b}^{6} = {( - 19b)}^{6}$

4.

$\frac{ {6}^{8} }{ {9}^{8} } = {( \frac{6}{9} )}^{8} = {( \frac{2}{3} )}^{8} = \frac{ {2}^{8} }{ {3}^{8} } = \frac{256}{6561}$

5.

A.

${ {7}^{50} }^{2} = {7}^{50 \times 2} = {7}^{100}$

B.

$( {9}^{0} + {34}^{0} ) \times {74}^{0} = (1 + 1) \times 1 = 2 \times 1 = 2$

C.

$\frac{ {8}^{7} }{ {8}^{4} \times {8}^{3} } = \frac{ {8}^{7} }{ {8}^{4 + 3} } = \frac{ {8}^{7} }{ {8}^{7}} = 1$

D.

$\frac{ {a}^{9} }{ {a}^{3} } \times {a}^{6} = {a}^{9 - 3} \times {a}^{6} = {a}^{6} \times {a}^{6} = {a}^{6 + 6} = {a}^{12}$