Simplify z^-5\cdotz^15
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.
To simplify the expression z^-5 ⋅ z^15, you can apply the exponent rule that states when multiplying two numbers with the same base, you add their exponents.
So, combining the two exponents:
z^-5 ⋅ z^15 = z^(-5 + 15)
Simplifying the exponent:
z^(-5 + 15) = z^10
Therefore, the simplified expression is z^10.