Final Answer
$3\sqrt{2}b^{4}\sqrt{a^{7}}$
Got another answer? Verify it here!
Step-by-step Solution
Problem to solve:
$\sqrt{3a^2} b^3\sqrt{6a^5}\cdot b$
Specify the solving method
1
When multiplying exponents with same base you can add the exponents: $b^3b\sqrt{3a^2}\sqrt{6a^5}$
$b^{\left(3+1\right)}\sqrt{3a^2}\sqrt{6a^5}$
Learn how to solve multiply powers of same base problems step by step online.
$b^{\left(3+1\right)}\sqrt{3a^2}\sqrt{6a^5}$
Learn how to solve multiply powers of same base problems step by step online. Simplify the algebraic expression (3a^2)^1/2b^3(6a^5)^1/2b. When multiplying exponents with same base you can add the exponents: b^3b\sqrt{3a^2}\sqrt{6a^5}. Add the values 3 and 1. The power of a product is equal to the product of it's factors raised to the same power. The power of a product is equal to the product of it's factors raised to the same power.
Final Answer
$3\sqrt{2}b^{4}\sqrt{a^{7}}$