Question

What is the half of 2^10 [read as 2 raise to 10]


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Answer 1

To find:

The half of $2^{10}$

Before we solve the problem, let us know some formulae:

• $a^{m}\div a^{n}=\dfrac{a^{m}}{a^{n}}=a^{m-n}$

• $a^{m}\times a^{n}=a^{m+n}$

• $(a^m)^{n}=a^{mn}$

Step-by-step explanation:

Now the half of $2^{10}$

$=2^{10}\div 2$

$=\dfrac{2^{10}}{2^{1}}$

• since $a=a^{1}$

$=2^{10-1}$

• since $\dfrac{a^{m}}{a^{n}}=a^{m-n}$

$=2^{9}$

Final Answer:

The half of $2^{10}$ is $2^{9}$.

NOTE:

Here, $2^{10}=1024$

The half of $2^{10}=1024\div 2=512$