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Exercise

$x^3\cdot y^3\sqrt{e}^x\cdot y^x$

Step-by-step Solution

1

Simplify $\left(\sqrt{e}\right)^x$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $\frac{1}{2}$ and $n$ equals $x$

$x^3y^3e^{\frac{1}{2}x}y^x$
2

When multiplying exponents with same base we can add the exponents

$x^3y^{\left(3+x\right)}e^{\frac{1}{2}x}$

Final answer to the exercise

$x^3y^{\left(3+x\right)}e^{\frac{1}{2}x}$

Try other ways to solve this exercise

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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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