Solve 84x(2^5)^4=78

$$84 x ( 2 ^ { 5 } ) ^ { 4 } = 78$$

Solve for x

$$x=\frac{13}{14680064}\approx 0.000000886$$

Steps for Solving Linear Equation

To raise a power to another power, multiply the exponents. Multiply 5 and 4 to get 20.

$$84x\times 2^{20}=78$$

Calculate 2 to the power of 20 and get 1048576.

$$84x\times 1048576=78$$

Multiply 84 and 1048576 to get 88080384.

$$88080384x=78$$

Divide both sides by 88080384.

$$x=\frac{78}{88080384}$$

Reduce the fraction \frac{78}{88080384} to lowest terms by extracting and canceling out 6.

$$x=\frac{13}{14680064}$$