Simplify z^-5\cdotz^15

3 answers

To simplify z^-5 * z^15, we can combine the exponents.

Using the rule of exponents that states z^a * z^b = z^(a+b), we can add the exponents:

-5 + 15 = 10

Therefore, z^-5 * z^15 simplifies to z^10.
Simplify x^9\cdotx^4
To simplify x^9 * x^4, we use the rule of exponents that states x^a * x^b = x^(a+b).

In this case, we add the exponents:

9 + 4 = 13

Therefore, x^9 * x^4 simplifies to x^13.