To solve the expression 2a⁵ b² × ba³, we can simplify it using the laws of exponents.
First, let's simplify the variables with the same base. We have:
ba³ × b²
To multiply variables with the same base, we add the exponents of the variables. In this case, we add 3 and 2:
ba³ × b² = ba^(3+2) = ba⁵
Now, we have:
2a⁵ × ba⁵
We can multiply the coefficients and the variables separately:
2 × a⁵ × ba⁵ = 2a⁵ba⁵
Finally, combining like terms, we get the simplified expression:
2a⁵ba⁵
