Question

Use the rules of exponents to simplify the expressions. Place a final answer in fraction form. (-1/2)to the power of 3 *(-1/2) to the power of 2

Answer 1

Answer:

-1/32

Step-by-step explanation:

we have

$(-\frac{1}{2})^{3} )(-\frac{1}{2})^{2})$

Remember that

The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents

so

$(-\frac{1}{2})^{3} )(-\frac{1}{2})^{2})=(-\frac{1}{2})^{3+2})=(-\frac{1}{2})^{5})=-\frac{1}{32}$