Solve 26.23(x^3y^2)^2

$$26.23 ( x ^ { 3 } y ^ { 2 } ) ^ { 2 }$$

Evaluate

$$\frac{2623y^{4}x^{6}}{100}$$

Solution Steps

Expand \left(x^{3}y^{2}\right)^{2}.

$$26.23\left(x^{3}\right)^{2}\left(y^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.

$$26.23x^{6}\left(y^{2}\right)^{2}$$

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

$$26.23x^{6}y^{4}$$

Expand

$$\frac{2623y^{4}x^{6}}{100}$$

Solution Steps

Expand \left(x^{3}y^{2}\right)^{2}.

$$26.23\left(x^{3}\right)^{2}\left(y^{2}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.

$$26.23x^{6}\left(y^{2}\right)^{2}$$

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

$$26.23x^{6}y^{4}$$