Solve y^3*(-y)*(-y)^5*(-y)^2

$$y ^ { 3 } \cdot ( - y ) \cdot ( - y ) ^ { 5 } \cdot ( - y ) ^ { 2 }$$

Evaluate

$$y^{11}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 5 to get 6.

$$y^{3}\left(-y\right)^{6}\left(-y\right)^{2}$$

To multiply powers of the same base, add their exponents. Add 6 and 2 to get 8.

$$y^{3}\left(-y\right)^{8}$$

Expand \left(-y\right)^{8}.

$$y^{3}\left(-1\right)^{8}y^{8}$$

Calculate -1 to the power of 8 and get 1.

$$y^{3}\times 1y^{8}$$

To multiply powers of the same base, add their exponents. Add 3 and 8 to get 11.

$$y^{11}\times 1$$

For any term t, t\times 1=t and 1t=t.

$$y^{11}$$

Expand

$$y^{11}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 5 to get 6.

$$y^{3}\left(-y\right)^{6}\left(-y\right)^{2}$$

To multiply powers of the same base, add their exponents. Add 6 and 2 to get 8.

$$y^{3}\left(-y\right)^{8}$$

Expand \left(-y\right)^{8}.

$$y^{3}\left(-1\right)^{8}y^{8}$$

Calculate -1 to the power of 8 and get 1.

$$y^{3}\times 1y^{8}$$

To multiply powers of the same base, add their exponents. Add 3 and 8 to get 11.

$$y^{11}\times 1$$

For any term t, t\times 1=t and 1t=t.

$$y^{11}$$