Question

4. (-2)^ -3 *(-2)^ -2 =\ - 1/32 1/32 c) 32 d)-32​

Answer 1

Answer:

-1/32. Pls mark me as brainliest.

Step-by-step explanation:

$(-2)^{-3} * (-2)^{-2}$

$a^m * a^n = a^{m+n}$  [Product Law of Exponents]

$(-2)^{(-3)+(-2)}\\(-2)^{-3-2}\\(-2)^{-5}$

$a^{-m} = \frac{1}{a^m}$ [Negative Exponents Law]

$\frac{1}{(-2)^5} \\\frac{1}{(-2)(-2)(-2)(-2)(-2)} \\\frac{1}{-32} \\\frac{-1}{32}$