Simplify the following expression. Assume that $$y \neq 0$$ . $$\frac { 8 y ^ { 4 } \cdot y ^ { 6 } \cdot y ^ { 6 } } { 2 \left( y ^ { 4 } \right) ^ { 3 } }$$
A) $4 y ^ { 137 }$
B) $4 y ^ { 4 }$
C) $6 y ^ { 4 }$
D) $4 y ^ { 9 }$
E) $8 y ^ { 4 }$

Question

Quizplus · Accepted Answer

When simplifying the expression, use the properties of exponents. The numerator simplifies to $8y^{16}$ (since $y^4 \cdot y^6 \cdot y^6 = y^{4+6+6} = y^{16}$). The denominator simplifies to $2y^{12}$ (since $(y^4)^3 = y^{4\cdot3} = y^{12}$). Dividing the numerator by the denominator gives $4y^4$.

Simplify the Following Expression y≠0y \neq 0y=0 8y4⋅y6⋅y62(y4)3\frac { 8 y ^ { 4 } \cdot y ^ { 6 } \cdot y ^ { 6 } } { 2 \left( y ^ { 4 } \right) ^ { 3 } }2(y4)38y4⋅y6⋅y6​

Simplify the Following Expression $y \neq 0$ $\frac { 8 y ^ { 4 } \cdot y ^ { 6 } \cdot y ^ { 6 } } { 2 \left( y ^ { 4 } \right) ^ { 3 } }$