Solve R=(1/5)^-3+(1/2)^-4+(1/3)^-2/(frac{1{7})^-2+1}

$$R = \frac { ( \frac { 1 } { 5 } ) ^ { - 3 } + ( \frac { 1 } { 2 } ) ^ { - 4 } + ( \frac { 1 } { 3 } ) ^ { - 2 } } { ( \frac { 1 } { 7 } ) ^ { - 2 } + 1 }$$

Solve for R

$$R=3$$

Steps for Solving Linear Equation

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

$$R=\frac{125+\left(\frac{1}{2}\right)^{-4}+\left(\frac{1}{3}\right)^{-2}}{\left(\frac{1}{7}\right)^{-2}+1}$$

Calculate \frac{1}{2} to the power of -4 and get 16.

$$R=\frac{125+16+\left(\frac{1}{3}\right)^{-2}}{\left(\frac{1}{7}\right)^{-2}+1}$$

Add 125 and 16 to get 141.

$$R=\frac{141+\left(\frac{1}{3}\right)^{-2}}{\left(\frac{1}{7}\right)^{-2}+1}$$

Calculate \frac{1}{3} to the power of -2 and get 9.

$$R=\frac{141+9}{\left(\frac{1}{7}\right)^{-2}+1}$$

Add 141 and 9 to get 150.

$$R=\frac{150}{\left(\frac{1}{7}\right)^{-2}+1}$$

Calculate \frac{1}{7} to the power of -2 and get 49.

$$R=\frac{150}{49+1}$$

Add 49 and 1 to get 50.

$$R=\frac{150}{50}$$

Divide 150 by 50 to get 3.

$$R=3$$

Assign R

$$R≔3$$