Question

what is pressure
$2x + 3x \times 57y$
​

Answer 1

Answer:

Three Rules of Exponents

Back to Section 1

Rule 1. Same base

Rule 2. Power of a product

Rule 3. Power of a power

Rule 1.  Same base

aman = am + n

"To multiply powers of the same base, add the exponents."

For example,  a2a3 = a5.

Why do we add the exponents?  Because of what the symbols mean.   Section 1.

Example 1.   Multiply  3x2· 4x5· 2x

Solution.   The problem means (Lesson 5):  Multiply the numbers, then combine the powers of x :

3x2· 4x5· 2x = 24x8

Two factors of x -- x2 -- times five factors of x -- x5 -- times one factor of x, produce a total of 2 + 5 + 1 = 8 factors of x :  x8.

Problem 1.   Multiply.  Apply the rule Same Base.

To see the answer, pass your mouse over the colored area.  

To cover the answer again, click "Refresh" ("Reload").

Do the problem yourself first!

 a)   5x2· 6x4  = 30x6   b)   7x3· 8x6 = 56x9

 

 c)   x· 5x4 = 5x5   d)   2x· 3x· 4x = 24x3

 

 e)   x3· 3x2· 5x = 15x6   f)   x5· 6x8y2 = 6x13y2

 

 g)   4x· y· 5x2· y3 = 20x3y4   h)   2xy· 9x3y5 = 18x4y6

 

 i)   a2b3a3b4 = a5b7   j)   a2bc3b2ac = a3b3c4

 

 k)   xmynxpyq = xm + pyn+ q   l)   apbqab = ap + 1bq + 1

Problem 2.   Distinguish the following:

x· x   and   x + x.

x· x = x².   x + x = 2x.

Example 2.   Compare the following:

a)  x· x5             b)  2· 25

Solution.

a)   x· x5 = x6

b)   2· 25 = 26

Step-by-step explanation: