# How do you evaluate 2^10 please solve and give an example and explanation? I really need help please.

May 18, 2018

2^10=2·2·2·2·2·2·2·2·2·2=1024

#### Explanation:

The expresion ${2}^{10}$ means that you have to repeat 2 as factor 10 times.

As you did long time ago, when you repeat a number adding a number of times you said for example 3+3+3+3=4·3=12

Now the number you are repeating is as factor and the notation is a^n=a·a·a·a····a (n times)

Hope this helps

May 18, 2018

${2}^{10} = 1024$

#### Explanation:

The powers of $10$ are well known ...start with $1$ and keep multiplying by $10$ (just add another $0$ each time. You get

$1 , \text{ "10," "100," "1000," "10,000," } 100 , 000 \ldots .$

For the powers of $2$, start with $1$ and keep multiplying by $2$ which is the same as doubling each time. You get:

$1 , \text{ "2," "4," "8," "16," "32," } 64 \ldots . .$

$2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 1024$

When you have multiplied by $2$ a total of $10$ times you have ${2}^{10}$

#

The answer will be $1024$

May 18, 2018

${2}^{10} = 1024$

#### Explanation:

${2}^{10} = {2}^{4} \cdot {2}^{4} \cdot {2}^{2}$

$\therefore \text{when multiplying add the exponents together}$

$\therefore {2}^{10} = 16 \cdot 16 \cdot 4 = 1024$

example:-

$\therefore {3}^{16} = {3}^{4} \cdot {3}^{4} \cdot {3}^{4} \cdot {3}^{2} \cdot {3}^{2}$

$\therefore {3}^{16} = 81 \cdot 81 \cdot 81 \cdot 9 \cdot 9 = 43046721$

For ${2}^{10} : -$

"on your calculator(hp9s):- $p r e s s$2 "then press ${x}^{y}$ then press $10$ then press enter display$= 1024$