Question

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

A. 6/a^3b^7
B. 6a/b^5
C. 6a/b^7
D. 6/a^3b^7

Answer 1

`\cfrac{6ab}{(a^0 b^2)^4}\implies \cfrac{6ab}{a^((0)(4)) b^((2)(4))}\implies \cfrac{6ab}{a^0 b^8}\implies \cfrac{6ab}{1\cdot b^8}\implies \cfrac{6ab}{b^8} \\\\\\ \cfrac{6ab^1}{b^8}\implies \cfrac{6a}{b^(-1) b^8}\implies \cfrac{6ab^1}{b^(-1+8)}\implies \cfrac{6a}{b^7}`