Question

(-4)to the power -3 multiplied (-4) to the power 7 = (-4))m

Answer 1

Answer:

${( - 4)}^{4} = ( - 4)m \\ m = \frac{256}{ - 4} \\ m = - 64$

Answer 2

Answer:

m=4

Explanation:

${( - 4)}^{-3} \times {( - 4)}^{7} = {( - 4)}^{m} \\ = > {( - 4)}^{-3 + 7} = {( - 4)}^{m} \\ = > {( - 4)}^{4} = {( - 4)}^{m}$

Bases are same;

Therefore, comparing both sides,

$m = 4$