Solve A=x^13*x^7/x^10*x^8+2

$$A = \frac { x ^ { 13 } \cdot x ^ { 7 } } { x ^ { 10 } \cdot x ^ { 8 } } + 2$$

Solve for A

$$A=x^{2}+2$$

$$x\neq 0$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 13 and 7 to get 20.

$$A=\frac{x^{20}}{x^{10}x^{8}}+2$$

To multiply powers of the same base, add their exponents. Add 10 and 8 to get 18.

$$A=\frac{x^{20}}{x^{18}}+2$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 18 from 20 to get 2.

$$A=x^{2}+2$$

Solve for x (complex solution)

$$x=-\sqrt{A-2}$$

$$x=\sqrt{A-2}\text{, }A\neq 2$$

Solve for x

$$x=\sqrt{A-2}$$

$$x=-\sqrt{A-2}\text{, }A>2$$