Solve -n^2(-n^5)^3

$$- n ^ { 2 } ( - n ^ { 5 } ) ^ { 3 }$$

Evaluate

$$n^{17}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

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

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

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

Use the Commutative Property of Multiplication.

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

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

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

Multiply 5 times 3.

$$-\left(-1\right)n^{2}n^{15}$$

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

$$-\left(-1\right)n^{2+15}$$

Add the exponents 2 and 15.

$$-\left(-1\right)n^{17}$$

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

$$n^{17}$$

Expand

$$n^{17}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

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

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

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

Use the Commutative Property of Multiplication.

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

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

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

Multiply 5 times 3.

$$-\left(-1\right)n^{2}n^{15}$$

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

$$-\left(-1\right)n^{2+15}$$

Add the exponents 2 and 15.

$$-\left(-1\right)n^{17}$$

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

$$n^{17}$$