An equation is formed of two equal expressions. The simplest form of the equation (81x⁸y⁵)⁰°²⁵ is 3x²y(y⁰°²⁵).
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The simplest form of the equation [tex]\sqrt[4]{81x^8 \times y^5}[/tex] can be written as,
[tex]\sqrt[4]{81x^8 \times y^5}\\\\= (81x^8 \times y^5)^{\frac14}\\\\= (3^4x^8 \times y^4 \times y)^{\frac14}\\\\= 3^{(\frac14 \times 4)} \times x^{(\frac14\times 8)} \times y^{(\frac14 \times 4)} \times y^{(\frac14 \times 1)}\\\\=3 \times x^2 \times y \times \sqrt[4]{y}\\\\=3x^2y \sqrt[4]{y}[/tex]
Thus, the simplest form of the equation (81x⁸y⁵)⁰°²⁵ is 3x²y(y⁰°²⁵).
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