Exercise
$\left(\frac{1}{4}ax^{2x}b^5-\frac{3}{2}a^{3x+2}b^x\right)^2$
Step-by-step Solution
Learn how to solve power of a product problems step by step online. Expand the expression (1/4ax^(2x)b^5-3/2a^(3x+2)b^x)^2. Expand \left(\frac{1}{4}ax^{2x}b^5-\frac{3}{2}a^{\left(3x+2\right)}b^x\right)^2. When multiplying exponents with same base we can add the exponents. When multiplying exponents with same base you can add the exponents: \frac{1}{2}\cdot \left(-\frac{3}{2}\right)ax^{2x}b^{\left(5+x\right)}a^{\left(3x+2\right)}. The power of a product is equal to the product of it's factors raised to the same power.
Expand the expression (1/4ax^(2x)b^5-3/2a^(3x+2)b^x)^2
Final answer to the exercise
$\frac{1}{16}a^2x^{4x}b^{10}-\frac{3}{4}a^{\left(3x+3\right)}x^{2x}b^{\left(5+x\right)}+a^{\left(6x+4\right)}\left(-\frac{3}{2}b^x\right)^2$