3 years ago

Solving equations with rational numbers

Mathematics

1 answer:

shusha [124]3 years ago

8 0

What is your question this makes no sense

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351.68 rounded to the nearest hundredth?

kobusy [5.1K]

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How do you simplify (9x^8 y^3)^1/2

kondaur [170]

$\left(9x^8y^3\right)^\frac{1}{2}=\left(3^2x^8y^3\right)^\frac{1}{2}=\left(3^2\right)^\frac{1}{2}\cdot\left(x^8\right)^\frac{1}{2}\cdot\left(y^3\right)^\frac{1}{2}\\\\=3^{2\cdot\frac{1}{2}}\cdot x^{8\cdot\frac{1}{2}}\cdot y^{3\cdot\frac{1}{2}}=3^1\cdot x^4\cdot y^\frac{3}{2}=3x^4\cdot y^{1\frac{1}{2}}\\\\=3x^4\cdot y^{1+\frac{1}{2}}=3x^4\cdot y^1\cdot y^\frac{1}{2}=3x^4y\sqrt{y}$