Simplify the expression 2a^3bc^2(3ac)^(1/2)

 Exercise

$2a^3bc^2\sqrt{3ac}$

 

The power of a product is equal to the product of it's factors raised to the same power

$2\sqrt{3}a^3bc^2\sqrt{a}\sqrt{c}$

 

When multiplying exponents with same base we can add the exponents

$2\sqrt{3}a^{\left(3+\frac{1}{2}\right)}bc^2\sqrt{c}$

 

When multiplying exponents with same base we can add the exponents

$2\sqrt{3}a^{\left(3+\frac{1}{2}\right)}bc^{\left(2+\frac{1}{2}\right)}$

 

Simplify the addition $3+\frac{1}{2}$

$2\sqrt{3}\sqrt{a^{7}}bc^{\left(2+\frac{1}{2}\right)}$

 

Simplify the addition $2+\frac{1}{2}$

$2\sqrt{3}\sqrt{a^{7}}b\sqrt{c^{5}}$

$2\sqrt{3}\sqrt{a^{7}}b\sqrt{c^{5}}$

 Try other ways to solve this exercise

Can't find a method? Tell us so we can add it.