Solve 1/2a^6bc^8=

$$\frac { 1 } { 2 a ^ { 6 } b c ^ { 8 } } =$$

Evaluate

$$\frac{1}{2ba^{6}c^{8}}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\frac{1}{2a^{6}b^{1}c^{8}}$$

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

$$\frac{1}{2}\times \frac{1}{a^{6}}\times \frac{1}{b^{1}}\times \frac{1}{c^{8}}$$

To raise a power to another power, multiply the exponents.

$$\frac{1}{2}a^{6\left(-1\right)}\times \frac{1}{b}c^{8\left(-1\right)}$$

Multiply 6 times -1.

$$\frac{1}{2}\times \frac{1}{a^{6}}\times \frac{1}{b}c^{8\left(-1\right)}$$

Multiply 8 times -1.

$$\frac{1}{2}\times \frac{1}{a^{6}}\times \frac{1}{b}\times \frac{1}{c^{8}}$$

Differentiate w.r.t. a

$$-\frac{3}{ba^{7}c^{8}}$$