(8x to the 3rd power) (4x to the 2nd power) simplifi
(8x)^3 * (4x)^2
[2^3 * (4x)^3]*(4x)^2
8*(4x)^5= 8*2^10*x^5=8*1024 * x^5
then finish.
To simplify the expression (8x^3)(4x^2), we apply the rules of exponents. When multiplying two terms with the same base, we add their exponents together. Here's how you can do it step-by-step:
Step 1: Multiply the coefficients (numbers in front of the variables): 8 * 4 = 32.
Step 2: Multiply the variables (x) and add their exponents: x^3 * x^2 = x^(3+2) = x^5.
Putting it all together, the simplified expression becomes 32x^5.