Solve |7,3^2-5,7^2/46

$$\frac { | 7,3 ^ { 2 } - 5,7 ^ { 2 } } { 46 }$$

Evaluate

$$\frac{91}{23}\approx 3,956521739$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\frac{|7\times 9-5\times 7^{2}|}{46}$$

Multiply 7 and 9 to get 63.

$$\frac{|63-5\times 7^{2}|}{46}$$

Calculate 7 to the power of 2 and get 49.

$$\frac{|63-5\times 49|}{46}$$

Multiply 5 and 49 to get 245.

$$\frac{|63-245|}{46}$$

Subtract 245 from 63 to get -182.

$$\frac{|-182|}{46}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -182 is 182.

$$\frac{182}{46}$$

Reduce the fraction \frac{182}{46} to lowest terms by extracting and canceling out 2.

$$\frac{91}{23}$$

Factor

$$\frac{7 \cdot 13}{23} = 3\frac{22}{23} = 3.9565217391304346$$