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Exercise

32x2b\frac{3}{2}x\sqrt{2b}

Step-by-step Solution

1

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

322xb\frac{3}{2}\sqrt{2}x\sqrt{b}
2

Multiply the fraction and term in 322xb\frac{3}{2}\sqrt{2}x\sqrt{b}

322xb\frac{3\sqrt{2}}{2}x\sqrt{b}
3

Multiplying the fraction by xbx\sqrt{b}

32xb2\frac{3\sqrt{2}x\sqrt{b}}{2}

Final answer to the exercise

32xb2\frac{3\sqrt{2}x\sqrt{b}}{2}

Try other ways to solve this exercise

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  • Write in simplest form
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
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  • Factor by completing the square
  • Find the roots
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Main Topic: Equivalent Expressions

Two algebraic expressions are equivalent if they stay equal to each other, for any values their variables can take.

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