Solve -4x^6/-2x^6

$$\frac { - 4 x ^ { 6 } } { - 2 x ^ { 6 } }$$

Evaluate

$$2$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(-4x^{6}\right)^{1}\times \frac{1}{-2x^{6}}$$

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

$$\left(-4\right)^{1}\left(x^{6}\right)^{1}\times \frac{1}{-2}\times \frac{1}{x^{6}}$$

Use the Commutative Property of Multiplication.

$$\left(-4\right)^{1}\times \frac{1}{-2}\left(x^{6}\right)^{1}\times \frac{1}{x^{6}}$$

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

$$\left(-4\right)^{1}\times \frac{1}{-2}x^{6}x^{6\left(-1\right)}$$

Multiply 6 times -1.

$$\left(-4\right)^{1}\times \frac{1}{-2}x^{6}x^{-6}$$

To multiply powers of the same base, add their exponents.

$$\left(-4\right)^{1}\times \frac{1}{-2}x^{6-6}$$

Add the exponents 6 and -6.

$$\left(-4\right)^{1}\times \frac{1}{-2}x^{0}$$

Raise -4 to the power 1.

$$-4\times \frac{1}{-2}x^{0}$$

Raise -2 to the power -1.

$$-4\left(-\frac{1}{2}\right)x^{0}$$

Multiply -4 times -\frac{1}{2}.

$$2x^{0}$$

For any term t except 0, t^{0}=1.

$$2\times 1$$

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

$$2$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{\left(-4\right)^{1}x^{6}}{\left(-2\right)^{1}x^{6}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{\left(-4\right)^{1}x^{6-6}}{\left(-2\right)^{1}}$$

Subtract 6 from 6.

$$\frac{\left(-4\right)^{1}x^{0}}{\left(-2\right)^{1}}$$

For any number a except 0, a^{0}=1.

$$\frac{\left(-4\right)^{1}}{\left(-2\right)^{1}}$$

Divide -4 by -2.

$$2$$

Factor

$$2$$