Name: Expressing Large Numbers in Standard Form
Uploaded: 2019-07-19
Duration: 7 min 22 s
Description: Any number can be expressed as decimal numbers between 1 and 10 multiplied by a power of 10. In this video, we will learn about expressing large numbers in standard form.

Question

Write the following number as power of $- 4$ .

$65, 536$

Accepted Answer

We know,

We use exponents as a shortcut to represent repeated multiplication. When a number is multiplied with itself $2$ or more times, then we represent it in exponent form.

It can be generalised as $a \times a \times a \times . . . \times n times = a^{n}$ , where $a$ is any non-zero number and $n$ is a natural number and it is read as " $a$ to the power $n$ or $a$ raised to the power $n$ ".

Here $' a'$ is called the base and $' n'$ is called the exponent or index.

$a^{2}$ is also called as $a$ squared and $a^{3}$ is also called as $a$ cubed.

If power of $(- 1)$ is odd, then the value is $- 1$ and if the power is even, then the value is $1$ .

That is, ${(- 1)}^{odd number} = - 1 and {(- 1)}^{even number} = 1$

Given,

$65536$

Writing the number $65536$ as power of $- 4 = (- 4) \times (- 4) \times (- 4) \times (- 4) \times (- 4) \times (- 4) \times (- 4) \times (- 4) = {(- 4)}^{8}$

Hence, the required answer is ${(- 4)}^{8}$ .

Write the following number as power of $- 4$ .

$65, 536$

Important Questions on Exponents and Powers

Learn and Prepare for any exam you want !

Write the following number as power of -4. 65,536

Important Questions on Exponents and Powers

Learn and Prepare for any exam you want !

Write the following number as power of $- 4$ .

$65, 536$