Question

sinplyfy the write in exponential form (-2)^-3*(-2)^-4​

Answer 1

According to the rule of exponents, when the base is same, we have to add the roots to get the solution.

${( - 2)}^{ - 3} \times {( - 2)}^{ - 4} \\ = {( - 2)}^{ - 3 + ( - 4)} \\ = {( - 2)}^{ - 3 - 4} \\ = {( - 2)}^{ - 7} \\ = \frac{1}{ {( - 2)}^{7} } \\ = \frac{1}{ - 128}$