How do you simplify $15^{12} - 15^{11}$ $15^12-15^11$ ?

Question

How do you simplify $15^{12} - 15^{11}$ $15^12-15^11$ ?

1 Answer

Impact of this question

2295 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-05-07T17:38:22

$15^{12} - 15^{11} = 14 \cdot 15^{11}$ $15^12-15^11=14*15^11$
or $1.2109658 \times 10^{14}$ $1.2109658 \times 10^14$ if you evaluate that number on a calculator/computer.

Explanation:

Exponential's are repeated multiplications of one number as in
$2^{4} = 2 \cdot 2 \cdot 2 \cdot 2 = 16$ $2^4=2*2*2*2=16$ ,
because of this it's simple to break $15^{12}$ $15^12$ into $15^{11} \cdot 15$ $15^11*15$ .
We replace the $15^{12}$ $15^12$ with this term producing,
$15^{12} - 15^{11} = 15 \cdot 15^{11} - 15^{11}$ $15^12-15^11=15*15^11-15^11$ .
Since there is a $15^{11}$ $15^11$ in both terms we can collect like terms to get
$= 15^{11} (15 - 1)$ $=15^11(15-1)$ .
Finishing it off we have
$= 14 \cdot 15^{11}$ $=14*15^11$
or $1.2109658 \times 10^{14}$ $1.2109658 \times 10^14$ if you evaluate that number on a calculator/computer.

Science

Math

Humanities

... and beyond

How do you simplify $15^{12} - 15^{11}$ $15^12-15^11$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you simplify 1512−151115^12-15^11?

1 Answer

Explanation:

Related questions

Impact of this question

How do you simplify $15^{12} - 15^{11}$ $15^12-15^11$ ?