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 4p² = | Equatix

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Question

$$( 4 p ^ { 2 } ) ^ { 4 } \div ( 8 p ^ { 3 } ) ^ { 2 } =$$

Evaluate

$4p^{2}$

Solution Steps

Expand $\left(4p^{2}\right)^{4}$.

$$\frac{4^{4}\left(p^{2}\right)^{4}}{\left(8p^{3}\right)^{2}}$$

To raise a power to another power, multiply the exponents. Multiply $2$ and $4$ to get $8$.

$$\frac{4^{4}p^{8}}{\left(8p^{3}\right)^{2}}$$

Calculate $4$ to the power of $4$ and get $256$.

$$\frac{256p^{8}}{\left(8p^{3}\right)^{2}}$$

Expand $\left(8p^{3}\right)^{2}$.

$$\frac{256p^{8}}{8^{2}\left(p^{3}\right)^{2}}$$

To raise a power to another power, multiply the exponents. Multiply $3$ and $2$ to get $6$.

$$\frac{256p^{8}}{8^{2}p^{6}}$$

Calculate $8$ to the power of $2$ and get $64$.

$$\frac{256p^{8}}{64p^{6}}$$

Cancel out $64p^{6}$ in both numerator and denominator.

$$4p^{2}$$

Show Solution

Expand

$4p^{2}$

Solution Steps

Expand $\left(4p^{2}\right)^{4}$.

$$\frac{4^{4}\left(p^{2}\right)^{4}}{\left(8p^{3}\right)^{2}}$$

To raise a power to another power, multiply the exponents. Multiply $2$ and $4$ to get $8$.

$$\frac{4^{4}p^{8}}{\left(8p^{3}\right)^{2}}$$

Calculate $4$ to the power of $4$ and get $256$.

$$\frac{256p^{8}}{\left(8p^{3}\right)^{2}}$$

Expand $\left(8p^{3}\right)^{2}$.

$$\frac{256p^{8}}{8^{2}\left(p^{3}\right)^{2}}$$

To raise a power to another power, multiply the exponents. Multiply $3$ and $2$ to get $6$.

$$\frac{256p^{8}}{8^{2}p^{6}}$$

Calculate $8$ to the power of $2$ and get $64$.

$$\frac{256p^{8}}{64p^{6}}$$

Cancel out $64p^{6}$ in both numerator and denominator.

$$4p^{2}$$

Show Solution

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Example

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Solution Steps