Solve -xc^5*x^2*c^3*(-xc)^6

$$- x c ^ { 5 } \cdot x ^ { 2 } \cdot c ^ { 3 } \cdot ( - x c ) ^ { 6 }$$

Evaluate

$$-x^{9}c^{14}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 5 and 3 to get 8.

$$\left(-x\right)c^{8}x^{2}\left(\left(-x\right)c\right)^{6}$$

Expand \left(\left(-x\right)c\right)^{6}.

$$\left(-x\right)c^{8}x^{2}\left(-x\right)^{6}c^{6}$$

To multiply powers of the same base, add their exponents. Add 1 and 6 to get 7.

$$\left(-x\right)^{7}c^{8}x^{2}c^{6}$$

To multiply powers of the same base, add their exponents. Add 8 and 6 to get 14.

$$\left(-x\right)^{7}c^{14}x^{2}$$

Expand \left(-x\right)^{7}.

$$\left(-1\right)^{7}x^{7}c^{14}x^{2}$$

Calculate -1 to the power of 7 and get -1.

$$-x^{7}c^{14}x^{2}$$

To multiply powers of the same base, add their exponents. Add 7 and 2 to get 9.

$$-x^{9}c^{14}$$

Expand

$$-x^{9}c^{14}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 5 and 3 to get 8.

$$\left(-x\right)c^{8}x^{2}\left(\left(-x\right)c\right)^{6}$$

Expand \left(\left(-x\right)c\right)^{6}.

$$\left(-x\right)c^{8}x^{2}\left(-x\right)^{6}c^{6}$$

To multiply powers of the same base, add their exponents. Add 1 and 6 to get 7.

$$\left(-x\right)^{7}c^{8}x^{2}c^{6}$$

To multiply powers of the same base, add their exponents. Add 8 and 6 to get 14.

$$\left(-x\right)^{7}c^{14}x^{2}$$

Expand \left(-x\right)^{7}.

$$\left(-1\right)^{7}x^{7}c^{14}x^{2}$$

Calculate -1 to the power of 7 and get -1.

$$-x^{7}c^{14}x^{2}$$

To multiply powers of the same base, add their exponents. Add 7 and 2 to get 9.

$$-x^{9}c^{14}$$