How to solve (27x ^ 2) ^ 3

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (27x ^ 2) ^ 3 | Equatix

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Question

$$(27x^{2})^{3}$$

Evaluate

$19683x^{6}$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(27x^{2}\right)^{3}$$

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

$$27^{3}\left(x^{2}\right)^{3}$$

Raise $27$ to the power $3$.

$$19683\left(x^{2}\right)^{3}$$

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

$$19683x^{2\times 3}$$

Multiply $2$ times $3$.

$$19683x^{6}$$

Show Solution

Expand

$19683x^{6}$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(27x^{2}\right)^{3}$$

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

$$27^{3}\left(x^{2}\right)^{3}$$

Raise $27$ to the power $3$.

$$19683\left(x^{2}\right)^{3}$$

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

$$19683x^{2\times 3}$$

Multiply $2$ times $3$.

$$19683x^{6}$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Steps for Raising Power to Another Power

Expand

Steps for Raising Power to Another Power