Respuesta :

Answer:

B

Step-by-step explanation:

[tex]x^{0} = 1\\\\\frac{x^{m}}{x^{n}}= \frac{1}{x^(n-m)}}, n >m\\\\\\\frac{6ab}{(a^{0}b^{2})^{4}}=\frac{6ab}{(1*b^{2})^{4}}\\\\=\frac{6ab}{b^{2*4}}\\\\=\frac{6ab}{b^{8}}\\\\=\frac{6a}{b^{8-1}}\\\\=\frac{6a}{b^{7}}[/tex]

The equivalent expression of 6ab/(a^0b^2)^4 is 6a/b^7

How to determine the equivalent expression?

The expression is given as:

6ab/(a^0b^2)^4

Evaluate the exponent of 0

6ab/(b^2)^4

Apply the law of indices, and open the bracket

6ab/b^8

Apply the law of indices

6a/b^(8-1)

Evaluate the difference

6a/b^7

Hence, the equivalent expression of 6ab/(a^0b^2)^4 is 6a/b^7

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