Solve (y^7)^8(xy)^3=

$$( y ^ { 7 } ) ^ { 8 } ( x y ) ^ { 3 } =$$

Evaluate

$$x^{3}y^{59}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 7 and 8 to get 56.

$$y^{56}\left(xy\right)^{3}$$

Expand \left(xy\right)^{3}.

$$y^{56}x^{3}y^{3}$$

To multiply powers of the same base, add their exponents. Add 56 and 3 to get 59.

$$y^{59}x^{3}$$

Expand

$$x^{3}y^{59}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 7 and 8 to get 56.

$$y^{56}\left(xy\right)^{3}$$

Expand \left(xy\right)^{3}.

$$y^{56}x^{3}y^{3}$$

To multiply powers of the same base, add their exponents. Add 56 and 3 to get 59.

$$y^{59}x^{3}$$