Solve 5^-3+5^-4=k*5^-4

$$5 ^ { - 3 } + 5 ^ { - 4 } = k \times 5 ^ { - 4 }$$

Solve for k

$$k=6$$

Steps for Solving Linear Equation

Calculate 5 to the power of -3 and get \frac{1}{125}.

$$\frac{1}{125}+5^{-4}=k\times 5^{-4}$$

Calculate 5 to the power of -4 and get \frac{1}{625}.

$$\frac{1}{125}+\frac{1}{625}=k\times 5^{-4}$$

Add \frac{1}{125} and \frac{1}{625} to get \frac{6}{625}.

$$\frac{6}{625}=k\times 5^{-4}$$

Calculate 5 to the power of -4 and get \frac{1}{625}.

$$\frac{6}{625}=k\times \frac{1}{625}$$

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

$$k\times \frac{1}{625}=\frac{6}{625}$$

Multiply both sides by 625, the reciprocal of \frac{1}{625}.

$$k=\frac{6}{625}\times 625$$

Multiply \frac{6}{625} and 625 to get 6.

$$k=6$$