The exponential form of 4x4x4x4x4 is​

The exponential form of 4x4x4x4x4 is​

The Correct Answer and Explanation is:

The exponential form of ( 4 \times 4 \times 4 \times 4 \times 4 ) is written as:

[
4^5
]

Explanation:

In mathematics, exponential notation provides a compact way of expressing repeated multiplication of the same number. In the given expression, ( 4 \times 4 \times 4 \times 4 \times 4 ), the number 4 is being multiplied by itself 5 times. Instead of writing it out as a long multiplication, we can represent it using exponents.

An exponent is written in the form ( a^b ), where:

• ( a ) is the base (the number that is being multiplied),
• ( b ) is the exponent or power (the number of times the base is used as a factor).

In the case of ( 4 \times 4 \times 4 \times 4 \times 4 ), the base is 4 and it is multiplied by itself 5 times. Therefore, the exponential form is ( 4^5 ), where:

• The base is 4 (the number being repeated),
• The exponent is 5 (indicating that the number 4 is used as a factor 5 times).

How to Compute ( 4^5 ):

The exponential expression ( 4^5 ) can be expanded as:

[
4^5 = 4 \times 4 \times 4 \times 4 \times 4
]

To compute this, you multiply the numbers step by step:

[
4 \times 4 = 16
]
[
16 \times 4 = 64
]
[
64 \times 4 = 256
]
[
256 \times 4 = 1024
]

So, ( 4^5 = 1024 ).

Conclusion:

The exponential form ( 4^5 ) is a more efficient and compact way to represent the repeated multiplication of the number 4 five times. This notation is commonly used in mathematics to simplify the representation and calculation of large products.