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Fynjy0 [20]
3 years ago
7

What is the cube root of 64x^12

Mathematics
2 answers:
dimulka [17.4K]3 years ago
6 0
<span>64x^12 = 4^3 x^12
cube root </span>64x^12  =  4x^4

answer 4x^4
Dvinal [7]3 years ago
4 0

Answer:  The required cube root of the given expression is 4x^4.

Step-by-step explanation:  We are given to find the cube root of the following expression :

E=64x^{12}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~``(i)

We will be using the following property :

\sqrt[n]{a}=a^\frac{1}{n}.

Taking cube root on both sides of equation (i), we get

\sqrt[3]E\\\\=\sqrt[3]{64x^{12}}\\\\=(64x^{12})^\frac{1}{3}\\\\=(4^3x^{12})^\frac{1}{3}\\\\=4^{3\times\frac{1}{3}}x^{12\times\frac{1}{3}}}\\\\=4x^4.

Thus, the required cube root of the given expression is 4x^4.

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