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A base is the number that is multiplied by itself, and an exponent indicates how many times the base is used as a factor. For example, in the expression ( 3^4 ), 3 is the base, and 4 is the exponent, meaning ( 3 ) is multiplied by itself ( 4 ) times: ( 3 \times 3 \times 3 \times 3 = 81 ).

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Related Questions

What is the base of an exponent?

The base of an exponent is the main number. For example in 56 the number 5 is the base and 6 is the exponent.


What is the definition of base number?

A base number is the value to the power of the exponent. For example, in 2^4, 2 is the base number and 4 is the exponent.


Definition of Base as math term?

The base number is the the number that is being repeatedlymultiplied in exponent problems. Example: 32 _ three is the base and two is the exponent


What is an example of a base in math?

72 7 1s the base,and two is the exponent


What expression using a base and exponent?

An expression using a base and exponent takes the form ( a^n ), where ( a ) is the base and ( n ) is the exponent. The base represents a number that is multiplied by itself, while the exponent indicates how many times the base is used in the multiplication. For example, in the expression ( 2^3 ), 2 is the base and 3 is the exponent, meaning ( 2 \times 2 \times 2 = 8 ).


What is the exponent and base for 262144?

The two are related. The answer could be base 2, exponent 18 or base 8, exponent 6 or base 10, exponent 5.4185 or base 262144, exponent 1 or base 68,719,476,736 and exponent 0.5


What does a negative exponent show?

A negative exponent indicates division by the base. For example: 8 -3 = 1/(83)= 1/672


How do you solve a power?

To solve a power, you raise a base number to an exponent by multiplying the base by itself as many times as indicated by the exponent. For example, (a^n) means you multiply (a) by itself (n) times. If the exponent is zero, the value is 1, and if the exponent is negative, you take the reciprocal of the base raised to the positive exponent. Using these rules, you can simplify and calculate the value of powers efficiently.


What is the base and exponent for 121?

You can choose the base to be any number (other than 0, -1 and 1) and calculate the appropriate exponent, or you can choose any exponent and calculate the appropriate base. For example, base 10: 121 = 10^2.08278537 (approx) Or exponent = 10: 121 = 1.615394266^10 (approx). I expect, though, that the answer that is required is 121 = 11^2.


What is the exponent for of 32?

A number does not have an exponent in isolation. It has an exponent in the context of a base. The same number can have different combinations of base and exponent. For example, 64 = 8^2 or 4^3 or 2^6. A base cannot be zero but usually it is restricted to positive real numbers. In higher mathematics, the most common base is the irrational (even transcendental) number e = 2.71828...


What is the exponent of 5.5?

A number does not have an exponent in isolation. It has an exponent in the context of a base. The same number can have different combinations of base and exponent. For example, 64 = 8^2 or 4^3 or 2^6. A base cannot be zero but usually it is restricted to positive real numbers. In higher mathematics, the most common base is the irrational (even transcendental) number e = 2.71828...


What is the exponent of 10000000000?

A number does not have an exponent in isolation. It has an exponent in the context of a base. The same number can have different combinations of base and exponent. For example, 64 = 8^2 or 4^3 or 2^6. A base cannot be zero but usually it is restricted to positive real numbers. In higher mathematics, the most common base is the irrational (even transcendental) number e = 2.71828...