Examples with solutions for Variables and Algebraic Expressions: Using powers

Exercise #1

9m3m2×3m6= \frac{9m}{3m^2}\times\frac{3m}{6}=

Video Solution

Step-by-Step Solution

According to the laws of multiplication, we must first simplify everything into one exercise:

9m×3m3m2×6= \frac{9m\times3m}{3m^2\times6}=

We will simplify and get:

9m2m2×6= \frac{9m^2}{m^2\times6}=

We will simplify and get:

96= \frac{9}{6}=

We will factor the expression into a multiplication:

3×33×2= \frac{3\times3}{3\times2}=

We will simplify and get:

32=1.5 \frac{3}{2}=1.5

Answer

0.5m 0.5m

Exercise #2

8x24x+3x= \frac{8x^2}{4x}+3x=

Video Solution

Answer

5x 5x

Exercise #3

Simplifica la expresión:

2x3x23xx4+6xx27x35= 2x^3\cdot x^2-3x\cdot x^4+6x\cdot x^2-7x^3\cdot 5=

Video Solution

Answer

x529x3 -x^5-29x^3