Solve ((4) ^ - 5) / x = 4 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$(4)^{-5}\div x=4$$

Solve for x

$x=\frac{1}{4096}=0.000244141$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $0$ since division by zero is not defined. Multiply both sides of the equation by $x$.

$$4^{-5}=4x$$

Calculate $4$ to the power of $-5$ and get $\frac{1}{1024}$.

$$\frac{1}{1024}=4x$$

Swap sides so that all variable terms are on the left hand side.

$$4x=\frac{1}{1024}$$

Divide both sides by $4$.

$$x=\frac{\frac{1}{1024}}{4}$$

Express $\frac{\frac{1}{1024}}{4}$ as a single fraction.

$$x=\frac{1}{1024\times 4}$$

Multiply $1024$ and $4$ to get $4096$.

$$x=\frac{1}{4096}$$