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

-1/32

Explanation:

we have

`(-(1)/(2))^(3) )(-(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

`(-(1)/(2))^(3) )(-(1)/(2))^(2))=(-(1)/(2))^(3+2))=(-(1)/(2))^(5))=-(1)/(32)`