Simplify the given expression:
$\frac{x^{45}}{y^{4}} \div-\frac{2 x^{9}}{y^{39}}$

Answer

Expert–verified

Hide Steps

Answer

Final Answer: The simplified expression is $\boxed{-\frac{x^{36}y^{35}}{2}}$

Steps

Step 1 ：Rewrite the given expression: $\frac{x^{45}}{y^{4}} \div -\frac{2 x^{9}}{y^{39}}$ as multiplication by flipping the second fraction: $\frac{x^{45}}{y^{4}} \times -\frac{y^{39}}{2 x^{9}}$

Step 2 ：Simplify the expression by using the properties of exponents: $-\frac{x^{36}y^{35}}{2}$

Step 3 ：Final Answer: The simplified expression is $\boxed{-\frac{x^{36}y^{35}}{2}}$

Simplify the given expression: $\frac{x^{45}}{y^{4}} \div-\frac{2 x^{9}}{y^{39}}$

Answer

Popular Problems

Simplify the given expression:
$\frac{x^{45}}{y^{4}} \div-\frac{2 x^{9}}{y^{39}}$