Solve 3x^2/-5x^2

$$\frac { 3 x ^ { 2 } } { - 5 x ^ { 2 } }$$

Evaluate

$$-\frac{3}{5}=-0.6$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(3x^{2}\right)^{1}\times \frac{1}{-5x^{2}}$$

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

$$3^{1}\left(x^{2}\right)^{1}\times \frac{1}{-5}\times \frac{1}{x^{2}}$$

Use the Commutative Property of Multiplication.

$$3^{1}\times \frac{1}{-5}\left(x^{2}\right)^{1}\times \frac{1}{x^{2}}$$

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

$$3^{1}\times \frac{1}{-5}x^{2}x^{2\left(-1\right)}$$

Multiply 2 times -1.

$$3^{1}\times \frac{1}{-5}x^{2}x^{-2}$$

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

$$3^{1}\times \frac{1}{-5}x^{2-2}$$

Add the exponents 2 and -2.

$$3^{1}\times \frac{1}{-5}x^{0}$$

Raise 3 to the power 1.

$$3\times \frac{1}{-5}x^{0}$$

Raise -5 to the power -1.

$$3\left(-\frac{1}{5}\right)x^{0}$$

Multiply 3 times -\frac{1}{5}.

$$-\frac{3}{5}x^{0}$$

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

$$-\frac{3}{5}$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{3^{1}x^{2}}{\left(-5\right)^{1}x^{2}}$$

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

$$\frac{3^{1}x^{2-2}}{\left(-5\right)^{1}}$$

Subtract 2 from 2.

$$\frac{3^{1}x^{0}}{\left(-5\right)^{1}}$$

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

$$\frac{3^{1}}{\left(-5\right)^{1}}$$

Divide 3 by -5.

$$-\frac{3}{5}$$

Factor

$$-\frac{3}{5} = -0.6$$