Question

Label the equations in number 5-7 as True or False:

(7^1)^9= 7^5 x 7^5

y^13/(y^2)^6=y^-10x y^9

b^4xb^-6=b^1xb^3/b^6

Answer 1

`{ \rm{ {(7}^(1)) ^(9 ) = 7 {}^(5) * {7}^(5) : \: { \tt{ \red{false}}} }} \\{ \boxed{ \mathfrak{correction \dashrightarrow \: ( {7}^(1)) {}^(9) = {7}^(9) }}} \\ \\ { \rm{ \frac{ {y}^(13) }{ {( {y}^(2)) }^(6) } = {y}^( - 10) * {y}^(9) : \:{ \tt { \red{false}}}}} \\ { \boxed{ \mathfrak{correction \: \dashrightarrow \: { \rm{{y}^(1) }}}}} \\ \\ { \rm{ {b}^(4) * {b}^( - 6) = \frac{ {b}^(1) * {b}^(3) }{ {b}^(6) } }} \: : \: { \tt{ \green{true}}}`