Question

Choose the product.
a³b²· 4ab³

A. 4 a³b⁵
B. 4 a⁴b⁵
C. 4 a³b⁶

Answer 1

To find the product \(a^3b^2 \cdot 4ab^3\), we multiply the coefficients and add the exponents of each variable:

For \(a\): \(a^3 \cdot a^1 = a^{3+1} = a^4\)

For \(b\): \(b^2 \cdot b^3 = b^{2+3} = b^5\)

So, the product is \(4a^4b^5\).

Therefore, the correct option is B. \(4a^4b^5\).