Question

simplify and write in exponential form
(a) 8⁴×8⁶
(b) (-9)³×(-9)⁵
(c) 3⁷÷3⁵
(d) (-4)⁷÷(-4)¹³​

Answer 1

$a) \: \: \: {8}^{4} \times {8}^{6} = {8}^{4 + 6} = {8}^{10}$

$b) \: \: \: { - 9}^{3} \times { - 9}^{5} = { (- 9)}^{3 + 5} \\ = {( - 9)}^{8}$

$c) \: \: \: \frac{ {3}^{7} }{ {3}^{5} } = ({3})^{7 - 5} = {3}^{2}$

$d) \: \: {( - 4)}^{7} \div ( { - 4)}^{13} \\ = ( - {4)}^{7 - 13} \\ = ( - {4)}^{ - 6}$