Simplify the expression. Write the result using positive exponents only.
-$\frac { 4 x ^ { 2 } \cdot x ^ { 5 } } { 5 x ^ { 3 } }$
A) $\frac { 4 } { 5 } x ^ { 7 }$
B) $\frac { 4 } { 5 } \times 10$
C) $\frac { 4 } { 5 } x ^ { 4 }$
D) $\frac { 4 } { 5 } x ^ { 9 }$

Question

Quizplus · Accepted Answer

When simplifying the expression, we use the properties of exponents. The numerator is $4x^2 \cdot x^5 = 4x^{2+5} = 4x^7$. The denominator is $5x^3$. When dividing, we subtract the exponents: $4x^7 / 5x^3 = \frac{4}{5}x^{7-3} = \frac{4}{5}x^4$.

Simplify the Expression 4x2⋅x55x3\frac { 4 x ^ { 2 } \cdot x ^ { 5 } } { 5 x ^ { 3 } }5x34x2⋅x5​

Simplify the Expression $\frac { 4 x ^ { 2 } \cdot x ^ { 5 } } { 5 x ^ { 3 } }$