Solve 19/7(2x^2y)^2div4xy=

$$\frac { 19 } { 7 } ( 2 x ^ { 2 } y ) ^ { 2 } \div 4 x y =$$

Evaluate

$$\frac{19y^{3}x^{5}}{7}$$

Solution Steps

Expand \left(2x^{2}y\right)^{2}.

$$\frac{\frac{19}{7}\times 2^{2}\left(x^{2}\right)^{2}y^{2}}{4}xy$$

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$\frac{\frac{19}{7}\times 2^{2}x^{4}y^{2}}{4}xy$$

Calculate 2 to the power of 2 and get 4.

$$\frac{\frac{19}{7}\times 4x^{4}y^{2}}{4}xy$$

Multiply \frac{19}{7} and 4 to get \frac{76}{7}.

$$\frac{\frac{76}{7}x^{4}y^{2}}{4}xy$$

Divide \frac{76}{7}x^{4}y^{2} by 4 to get \frac{19}{7}x^{4}y^{2}.

$$\frac{19}{7}x^{4}y^{2}xy$$

To multiply powers of the same base, add their exponents. Add 4 and 1 to get 5.

$$\frac{19}{7}x^{5}y^{2}y$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{19}{7}x^{5}y^{3}$$

Expand

$$\frac{19y^{3}x^{5}}{7}$$

Solution Steps

Expand \left(2x^{2}y\right)^{2}.

$$\frac{\frac{19}{7}\times 2^{2}\left(x^{2}\right)^{2}y^{2}}{4}xy$$

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$\frac{\frac{19}{7}\times 2^{2}x^{4}y^{2}}{4}xy$$

Calculate 2 to the power of 2 and get 4.

$$\frac{\frac{19}{7}\times 4x^{4}y^{2}}{4}xy$$

Multiply \frac{19}{7} and 4 to get \frac{76}{7}.

$$\frac{\frac{76}{7}x^{4}y^{2}}{4}xy$$

Divide \frac{76}{7}x^{4}y^{2} by 4 to get \frac{19}{7}x^{4}y^{2}.

$$\frac{19}{7}x^{4}y^{2}xy$$

To multiply powers of the same base, add their exponents. Add 4 and 1 to get 5.

$$\frac{19}{7}x^{5}y^{2}y$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{19}{7}x^{5}y^{3}$$