Solve (-a)^7div(-a^4)

$$( - a ) ^ { 7 } \div ( - a ^ { 4 } )$$

Evaluate

$$a^{3}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(-a^{1}\right)^{7}\times \frac{1}{-a^{4}}$$

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

$$-\left(a^{1}\right)^{7}\left(-1\right)\times \frac{1}{a^{4}}$$

Use the Commutative Property of Multiplication.

$$-\left(-1\right)\left(a^{1}\right)^{7}\times \frac{1}{a^{4}}$$

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

$$-\left(-1\right)a^{7}a^{4\left(-1\right)}$$

Multiply 4 times -1.

$$-\left(-1\right)a^{7}a^{-4}$$

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

$$-\left(-1\right)a^{7-4}$$

Add the exponents 7 and -4.

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

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

$$a^{3}$$

Expand

$$a^{3}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(-a^{1}\right)^{7}\times \frac{1}{-a^{4}}$$

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

$$-\left(a^{1}\right)^{7}\left(-1\right)\times \frac{1}{a^{4}}$$

Use the Commutative Property of Multiplication.

$$-\left(-1\right)\left(a^{1}\right)^{7}\times \frac{1}{a^{4}}$$

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

$$-\left(-1\right)a^{7}a^{4\left(-1\right)}$$

Multiply 4 times -1.

$$-\left(-1\right)a^{7}a^{-4}$$

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

$$-\left(-1\right)a^{7-4}$$

Add the exponents 7 and -4.

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

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

$$a^{3}$$