Answer:
The answer is
[tex]( { - \frac{1}{2} })^{9} [/tex]
Step-by-step explanation:
[tex]( { - \frac{1}{2} })^{3} \times ({ - \frac{1}{2} })^{6} [/tex]
Use the rules of indices
Since they have the same base and are multiplying we add the exponents
That's
[tex] {a}^{x} \times {a}^{y} = {a}^{x + y} [/tex]
So we have
[tex]( { - \frac{1}{2} })^{3} \times ({ - \frac{1}{2} })^{6} = ({ - \frac{1}{2} })^{6 + 3} [/tex]
We have the final answer as
[tex]( { - \frac{1}{2} })^{9} [/tex]
Hope this helps you
