Write 625 using exponents in as many ways as you can.

First, you can factor out 625 using the 'tree' method or the 'ladder' method. 625 / 5 125 / 5 25 / 5 5 This means you can say that 625=5 to the power of 4 If your problem requires you to use only whole integers with exponents, then that would be the only way. If not, then you can also do 625=25*5²

Answered by LadyCiel | 2024-06-10

625 = 5 4

625 = ( 5 2 ) 2

625 = ( 25 ) 2

625 = ( 5 3 ) × 5

625 = ( 5 2 ) × ( 5 2 )

625 = ( 5 3 ) × 5 1

625 = ( 5 3 ) × ( 5 0 )

625 = ( 5 6 ) ÷ ( 5 2 )

625 = ( 5 6 ) ÷ 5 2

625 = ( 5 5 ) ÷ ( 5 1 )

625 = 5 4 :



This expression means 5 multiplied by itself 4 times.
It's a straightforward representation using exponentiation, where the base is 5 and the exponent is 4.


625 = ( 5 2 ) 2 :


Here, 5 2 is raised to the power of 2.
This simplifies to 5 2 × 2 , which equals 5 4 , effectively representing 625.


625 = ( 25 ) 2 :


This expression takes advantage of the fact that 25 = 5 2 .
By squaring 25, you effectively get 5 4 , which equals 625.


625 = ( 5 3 ) × 5 :


This expression is another way to represent 625.
It multiplies 5 3 (which is 125) by 5, resulting in 625.


625 = ( 5 2 ) × ( 5 2 ) :


Here, two 5 2 terms are multiplied together.
Since 5 2 equals 25, multiplying them results in 25 × 25 , which equals 625.


625 = ( 5 3 ) × 5 1 :


This expression breaks down 625 into 5 3 (125)[/tex] multiplied by 5^1\) ( .
Multiplying these together gives 625.


[tex] 625 = ( 5 3 ) × ( 5 0 ) :


Although 5 0 is 1 (any number raised to the power of 0 equals 1), it's included here for completeness.
So, this expression is effectively 5 3 (125)[/tex] multiplied by 1, resulting in 625.


[tex] 625 = ( 5 6 ) ÷ ( 5 2 ) :


This expression represents 625 as 5 6 (which is 15625) divided by 5 2 (25)[/tex].
The result of this division is indeed 625.


[tex] 625 = ( 5 6 ) ÷ 5 2 :


Here, 5 6 is divided by 5 2 .
This simplifies to 5 6 − 2 , which equals 5 4 , effectively representing 625.


625 = ( 5 5 ) ÷ ( 5 1 ) :


This expression divides 5^5\) (3125) by \(5^1\) ( .
The result of this division is 625.

Each of these expressions represents 625 using different combinations of exponentiation.

Answered by JoanBlondell | 2024-06-24

The number 625 can be expressed using exponents as 625 = 5 4 and 625 = 2 5 2 . Both of these representations illustrate the prime factorization of the number. These two expressions demonstrate different aspects of exponentiation.
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Answered by LadyCiel | 2024-09-26