Base and Exponents with Integers

I am a method of writing numbers as the product of two factors where the first factor is always    a  number greater than or equal to 1 and less than 10 and the second factor is always a  power of 10.

I am a number that is the cube of an integer.  The first three integer perfect squares are 1, 8, and 27.

I am the property that states that when multiplying two powers with the same base, add the exponents.

I am the property that states that when dividing two exponential expressions with the same base, subtract the exponents.

A (a)   is a number that is used as a factor when that number is raised to a power.

x*x*x*x*x*x

I am the property that states that a^ -n = 1/a^n

I am the property that states that a⁰ = 1 (assuming a ≠ 0)

I am the property that states that to find the power of a power, multiply the exponents.

The number that indicates how many times the based is used as a factor.