Question

Please help me answer this

Answer 1

9514 1404 393

Answer:

  z^11

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

__

  $z^5\cdot z^6=z^{5+6}=\boxed{z^{11}}$

__

Additional comment

It might help you to think of an exponent as indicating repeated multiplication. It tells you how many times the factor is repeated. In this case, it means ...

  $z^5\cdot z^6=(z\cdot z\cdot z\cdot z\cdot z)\cdot(z\cdot z\cdot z\cdot z\cdot z\cdot z)\\=z\cdot z\cdot z\cdot z\cdot z\cdot z\cdot z\cdot z\cdot z\cdot z\cdot z = z^{11}$