Mathematics, 21.07.2019 18:20 morgaaaan3835
Which monomial is a perfect cube? 16x6 27x8 32x12 64x6
Answers: 2
![y=16x^6=2\times (8x^6)=2\times(2x^2)^3\\\\\Rightarrow \sqrt[3]{y}=2x^2\sqrt[3]{2}.](/tpl/images/0116/5309/fbc3f.png)
![y=27x^8=x^2\times (27x^6)=x^2\times(3x^2)^3\\\\\Rightarrow \sqrt[3]{y}=3x^2\sqrt[3]{x^2}.](/tpl/images/0116/5309/700fa.png)
![y=32x^{12}=4\times (8x^{12})=4\times(2x^4)^3\\\\\Rightarrow \sqrt[3]{y}=2x^4\sqrt[3]{4}.](/tpl/images/0116/5309/20096.png)
![y=64x^6=(4x^2)^3\\\\\Rightarrow \sqrt[3]{y}=4x^2.](/tpl/images/0116/5309/cf49c.png)
is the correct option.
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Which monomial is a perfect cube? 16x6 27x8 32x12 64x6...
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