Solve (y×x×3)^5: Multiple Variable Exponent Evaluation

The power of a product rule states that $(ab)^n = a^n \times b^n$. This means the exponent distributes to every factor, whether it's a variable like y or x, or a constant like 3.

It doesn't matter! The rule works the same way. Each variable gets raised to the power separately: $(abc)^5 = a^5b^5c^5$. Variables don't interfere with each other.

Yes! The power rule works with any exponent. For example: $(xy)^{-2} = x^{-2}y^{-2}$. The exponent always distributes to every factor.

Think of it as sharing equally! When you have $(abc)^5$, imagine the exponent 5 making 5 copies of the entire product, which gives each factor the same power.

You add exponents when multiplying the same base: $x^2 \times x^3 = x^5$. You distribute exponents when raising a product to a power: $(xy)^3 = x^3y^3$.