Rational Algebraic Equation

The law of exponents that is

when multiplying with the same bases, get the sum of its exponents and copy its base.

The law of exponent that is

when dividing with the same bases, we need to subtract the exponents and copy its base.

The law of exponent that is

when a power raised to a power, we need to multiply the powers and copy its base.

The law of exponent that is

when a power raised to zero, the answer is one.

The law of exponent that is

when a power raised to a negative number, get its reciprocal.

Simplify:

 $\frac{5b}{3b^2+2b}$ 

•  $\frac{5}{b\left(3b+2\right)}$  

•  $\frac{5}{3b+2}$  

•  $\frac{5b}{3+2b}$  

•  $\frac{5b}{3b+2}$  

Simplify:

 $\frac{2c+6}{c^2-9}$ 

•  $\frac{2}{c-9}$  

•  $\frac{2}{c+9}$  

•  $\frac{2\left(c+3\right)}{c-3}$  

•  $\frac{2\left(c+3\right)}{c+3}$  

Simplify:

 $\frac{3a}{2x^2}+\frac{2a}{2x^2}$ 

•  $\frac{5a^2}{2x^2}$  

•  $\frac{5a}{2x^2}$  

•  $\frac{5a}{4x^2}$  

•  $\frac{5a^2}{4x^2}$  

Simplify:

 $\frac{6}{3m}-\frac{5m}{3m}$ 

•  $\frac{5m+6}{3m}$  

•  $\frac{-5m-6}{3m}$  

•  $\frac{5m-6}{3m}$  

•  $\frac{-5m+6}{3m}$  

Simplify:

 $\frac{2}{3x}+\frac{x}{6}$ 

•  $\frac{x^2+4}{6x}$  

•  $\frac{x+2}{6x}$  

•  $\frac{x+2}{3x+6}$  

•  $\frac{x^2+4}{3x+6}$