How to solve (7)^(2)x8

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 (7)^(2)x8 | Equatix

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Question

$${ 7 }^{ 2 } x8$$

Differentiate w.r.t. x_8

$49$

Steps Using Definition of a Derivative

Calculate $7$ to the power of $2$ and get $49$.

$$\frac{\mathrm{d}}{\mathrm{d}x_{8}}(49x_{8})$$

The derivative of $ax^{n}$ is $nax^{n-1}$.

$$49x_{8}^{1-1}$$

Subtract $1$ from $1$.

$$49x_{8}^{0}$$

For any term $t$ except $0$, $t^{0}=1$.

$$49\times 1$$

For any term $t$, $t\times 1=t$ and $1t=t$.

$$49$$

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Evaluate

$49x_{8}$

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Example

Question

Differentiate w.r.t. x_8

Steps Using Definition of a Derivative

Evaluate

Solution Steps