Solve 3a^(5/4)b^(3/2)*a^(3/2)b^0

Evaluate

3 a^{\frac{5}{4}} b^{\frac{3}{2}} a^{\frac{3}{2}} b^{0}

Evaluate the power

3 a^{\frac{5}{4}} b^{\frac{3}{2}} a^{\frac{3}{2}} \times 1

Rewrite the expression

3 a^{\frac{5}{4}} b^{\frac{3}{2}} a^{\frac{3}{2}}

Multiply the terms with the same base by adding their exponents

3 a^{\frac{5}{4} + \frac{3}{2}} b^{\frac{3}{2}}

Add the numbers

More Steps

3 a^{\frac{11}{4}} b^{\frac{3}{2}}

Use a^{\frac{m}{n}} = n a^{m} to transform the expression

3 4 a^{11} \times b^{\frac{3}{2}}

Use a^{\frac{m}{n}} = n a^{m} to transform the expression

3 4 a^{11} \times b^{3}

Simplify the radical expression

More Steps

3 a^{2} 4 a^{3} \times b^{3}

Simplify the radical expression

More Steps

3 a^{2} 4 a^{3} \times b b

Solution

3 a^{2} b 4 a^{3} b^{2}

Simplify the expression