Solve -21/5:1/5=-11/5*5^2-11

$$- 2 \frac { 1 } { 5 } : \frac { 1 } { 5 } = - \frac { 11 } { 5 } \cdot 5 ^ { 2 } - 11$$

Verify

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{-\frac{10+1}{5}}{\frac{1}{5}}=-\frac{11}{5}\times 5^{2}-11$$

Add 10 and 1 to get 11.

$$\frac{-\frac{11}{5}}{\frac{1}{5}}=-\frac{11}{5}\times 5^{2}-11$$

Divide -\frac{11}{5} by \frac{1}{5} by multiplying -\frac{11}{5} by the reciprocal of \frac{1}{5}.

$$-\frac{11}{5}\times 5=-\frac{11}{5}\times 5^{2}-11$$

Cancel out 5 and 5.

$$-11=-\frac{11}{5}\times 5^{2}-11$$

Calculate 5 to the power of 2 and get 25.

$$-11=-\frac{11}{5}\times 25-11$$

Express -\frac{11}{5}\times 25 as a single fraction.

$$-11=\frac{-11\times 25}{5}-11$$

Multiply -11 and 25 to get -275.

$$-11=\frac{-275}{5}-11$$

Divide -275 by 5 to get -55.

$$-11=-55-11$$

Subtract 11 from -55 to get -66.

$$-11=-66$$

Compare -11 and -66.

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