Solve (-m^2)^3div(-m^2)=

$$( - m ^ { 2 } ) ^ { 3 } \div ( - m ^ { 2 } ) =$$

Evaluate

$$m^{4}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

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

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

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

Use the Commutative Property of Multiplication.

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

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

$$-\left(-1\right)m^{2\times 3}m^{2\left(-1\right)}$$

Multiply 2 times 3.

$$-\left(-1\right)m^{6}m^{2\left(-1\right)}$$

Multiply 2 times -1.

$$-\left(-1\right)m^{6}m^{-2}$$

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

$$-\left(-1\right)m^{6-2}$$

Add the exponents 6 and -2.

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

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

$$m^{4}$$

Expand

$$m^{4}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

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

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

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

Use the Commutative Property of Multiplication.

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

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

$$-\left(-1\right)m^{2\times 3}m^{2\left(-1\right)}$$

Multiply 2 times 3.

$$-\left(-1\right)m^{6}m^{2\left(-1\right)}$$

Multiply 2 times -1.

$$-\left(-1\right)m^{6}m^{-2}$$

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

$$-\left(-1\right)m^{6-2}$$

Add the exponents 6 and -2.

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

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

$$m^{4}$$