Solve (3s^4)^3s^2

$$( 3 s ^ { 4 } ) ^ { 3 } s ^ { 2 }$$

Evaluate

$$27s^{14}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(3s^{4}\right)^{3}\left(s^{1}\right)^{2}$$

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

$$3^{3}\left(s^{4}\right)^{3}\times 1^{2}\left(s^{1}\right)^{2}$$

Use the Commutative Property of Multiplication.

$$3^{3}\times 1^{2}\left(s^{4}\right)^{3}\left(s^{1}\right)^{2}$$

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

$$3^{3}\times 1^{2}s^{4\times 3}s^{2}$$

Multiply 4 times 3.

$$3^{3}\times 1^{2}s^{12}s^{2}$$

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

$$3^{3}\times 1^{2}s^{12+2}$$

Add the exponents 12 and 2.

$$3^{3}\times 1^{2}s^{14}$$

Raise 3 to the power 3.

$$27\times 1^{2}s^{14}$$

Expand

$$27s^{14}$$

Steps for the Product of Two Exponentials

Use the rules of exponents to simplify the expression.

$$\left(3s^{4}\right)^{3}\left(s^{1}\right)^{2}$$

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

$$3^{3}\left(s^{4}\right)^{3}\times 1^{2}\left(s^{1}\right)^{2}$$

Use the Commutative Property of Multiplication.

$$3^{3}\times 1^{2}\left(s^{4}\right)^{3}\left(s^{1}\right)^{2}$$

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

$$3^{3}\times 1^{2}s^{4\times 3}s^{2}$$

Multiply 4 times 3.

$$3^{3}\times 1^{2}s^{12}s^{2}$$

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

$$3^{3}\times 1^{2}s^{12+2}$$

Add the exponents 12 and 2.

$$3^{3}\times 1^{2}s^{14}$$

Raise 3 to the power 3.

$$27\times 1^{2}s^{14}$$