How to solve [a/b] ^ 4

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 [a/b] ^ 4 | Equatix

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Question

$$[\frac{a}{b}]^{4}$$

Evaluate

$\left(\frac{a}{b}\right)^{4}$

Solution Steps

Use the rules of exponents to simplify the expression.

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

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

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

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

$$a^{4}b^{-4}$$

Multiply $-1$ times $4$.

$$a^{4}\times \frac{1}{b^{4}}$$

Show Solution

Expand

$\left(\frac{a}{b}\right)^{4}$

Solution Steps

Use the rules of exponents to simplify the expression.

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

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

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

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

$$a^{4}b^{-4}$$

Multiply $-1$ times $4$.

$$a^{4}\times \frac{1}{b^{4}}$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Solution Steps

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Solution Steps