Solve (-a^3)^2*(-a^3)^3=

$$( - a ^ { 3 } ) ^ { 2 } \cdot ( - a ^ { 3 } ) ^ { 3 } =$$

Evaluate

$$-a^{15}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(-a^{3}\right)^{2}\left(-a^{3}\right)^{3}$$

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

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

Use the Commutative Property of Multiplication.

$$-\left(a^{3}\right)^{2}\left(a^{3}\right)^{3}$$

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

$$-a^{3\times 2}a^{3\times 3}$$

Multiply 3 times 2.

$$-a^{6}a^{3\times 3}$$

Multiply 3 times 3.

$$-a^{6}a^{9}$$

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

$$-a^{6+9}$$

Add the exponents 6 and 9.

$$-a^{15}$$

Expand

$$-a^{15}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(-a^{3}\right)^{2}\left(-a^{3}\right)^{3}$$

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

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

Use the Commutative Property of Multiplication.

$$-\left(a^{3}\right)^{2}\left(a^{3}\right)^{3}$$

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

$$-a^{3\times 2}a^{3\times 3}$$

Multiply 3 times 2.

$$-a^{6}a^{3\times 3}$$

Multiply 3 times 3.

$$-a^{6}a^{9}$$

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

$$-a^{6+9}$$

Add the exponents 6 and 9.

$$-a^{15}$$