Question

Find the value of x : (-3)˟ x (-3)²˟ = (-3)⁹​

Answer 1

Answer:

${( - 3)}^{x} \times {( - 3)}^{2x} = {( - 3)}^{9} \\ {( - 3)}^{x + 2x} = {( - 3)}^{9} \\ 3x = 9 \\ x = 3$

Answer 2

Step-by-step explanation:

$\bf {( - 3)}^{x} \times {( - 3)}^{2x} = {( - 3)}^{9}$

$\bf \cancel{ {( - 3)}} \: \: ^{x + 2x} = \cancel{ {( - 3)}} \: \: ^{9}$

$\bf \: 3x = 9$

$\bf \: x= \frac{9}{3}$

$\bf \: x = 3$