Which expression is equivalent to the given expression? 6ab/(a^0b^2)^4

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
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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