n to the 3rd power is n x n x n
3 x 3 x 3 x 3 x 3
5 x 5 x 5
103 = 10 x 10 x 10
5^3 = 5 x 5 x 5
3 to the third power = 3 x 3 x 3
3 x 3 x 3 x 3 x 3
7^3 = 7 x 7 x 7
5 x 5 x 5
5^3 = 5 x 5 x 5
103 = 10 x 10 x 10
3 to the third power = 3 x 3 x 3
The power of a product states that when you raise a product of factors to a power, you can distribute the exponent to each factor. Mathematically, this is expressed as ((ab)^n = a^n \times b^n). If you have the same factor, such as (a), the expression ((a^m)^n) simplifies to (a^{m \cdot n}). For example, if (a = 2), (m = 3), and (n = 2), then ((2^3)^2 = 2^{3 \cdot 2} = 2^6 = 64).
Example: 4 to the power of 3 = 4 x 4 x 4 that is the answer
I think you see what number they both have in common then do a factor tree. I think the first part is right but I'm not so sure about the factor tree try yahoo answers :) Acually, first you are suppost to write the power as a product then solve. EXAMPLE: 3 to the fifth power 3 to the fifth power= 3x3x3x3x3 = 243
3 x 3 x 3 x 3 x 3 x 3 x 3 x 3
Three to the third power equals three times three times three equals twenty-seven. 3^3 = 3 x 3 x 3 = 27
3^6 = 729