Question

How do you write each number as a power of the given base $100,000$ base $10?$

Answer 1

Hint: The power of $10$ is easy to remember, because we use a base $10$ number system. For $10n$ with $n$ a positive integer, just write a$'1'$ with $n$ zeros after it.
Usually, a power is represented with a base number and an exponent. The base number tells what number is being multiplied. The exponent, a small number written above and to the right of the base numbers, tells how many times the base number is being multiplied.

Complete Step by Step solution:
The given power of given base is $100,000$ and base $10.$
$\Rightarrow 100,000=10\times 10\times 10\times 10\times 10$
The base is $10$ as per given data question.
The base is $10$ that is the number that is being multiplied.
The base is the number of the digit or combination of digits that a system of counting systems uses to represent numbers. A base can be any whole number greater than $0.$The most commonly used number system is the decimal system commonly known as base $10.$
The standard number base we use is ten. This means we group numbers in tens.
Hence,
The exponent is $5$ that is the number of bases that have been multiplied.
The exponent or power of a number says how many times to use the number in a multiplication.
It is written as a small number to the right and above the base number.
As can be seen from the equation above, $10$ has been multiplied $5$ times $50$.
$\Rightarrow $$100,000=10\times 10\times 10\times 10\times 10={{10}^{5}}$

Additional Information:
In base $10,$ each digit in a position of a number can have an integer value ranging from $0$ to $9$ ($10$ possibilities) This system uses $10$ as its base number so that is why it is called the base $10$ system. Base $10$ describes how much numerical value each digit has in a whole number.
An exponent refers to the number of times a number is multiplied by itself for example. $2$to the ${{3}^{rd}}$ (written like this ${{2}^{3}}$) means
 $\Rightarrow $$2\times 2\times =8$
In mathematics, power defines a base number raised to the exponent, where base number is the factor which is multiplied by itself and exponent denotes the number of times the same base number is multiplied.

Note:
Always make sure that you write a multiplication sign in the proper place and where there is a requirement of multiplication. For \[10\] base system, for \[10n\] always remember the \[n\] is a positive integer number and always just write a \[1\] with n zeros after it. And always make sure that a power is represented with a base number which tells us what number gets multiplied. Make sure that the base number is a whole number which should be greater than zero. And also write the multiplication sign in the proper place where it is required.