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Q: What is the exponent and base for 262144?

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The base could be 11 and the exponent 2, giving 112 But, it could equally be base = 14641, and exponent = 0.5, or base = 10, and exponent = 2.082785 (approx)

You can define any base you like and calculate an appropriate exponent or, you can pick an exponent and calculate the base. So you can have base 25, with exponent 2 or base 5 and exonent 4 or base e (the base for natural logarithms) and exponent 6.437752 (to 6 dp) or base 10 and exponent 2.795880 (to 6 dp) or base 2 and exponent 9.287712 etc or base 8.54988 (to 3 dp) and exponent 3 or base 3.623898 (to 3 dp) and exponent 5 etc There is no need for the base to be an integer or even rational. Probably the most important bases in advanced mathematics is e, which is a transcendental number. Similarly, there is no need for the exponent to be an integer.

The base is 7 and the exponent is 3.

The base and exponent form a pair. You can chose any positive base and that will determine the exponent.243 = 49^1.5 that is base = 49, exponent = 1.5)or 243 = 10^2.5353 (approx) or 243 = 7^3.

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Related questions

262144 is standard notation for 8⁶, where 8 is the base and 6 is the exponent

The exponent can only be found in the context of a base. But there is no base specified and so there can be no clear answer.On possible answer is that 262144 = 512^2 so, with the base 512, the exponent is 2.

262114 is the base, 1 is the exponent.the base is 12

262144 is standard notation for 86 (which is your exponential notation). Here 8 is your base and 6 is your exponent.

You cannot know that. It could be base 10.

The answer is 262144.

262,144 = 2.62144 x 10^5262144 is standard notation for 86 (exponential notation), where 8 is the base and 6 is the 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.

If you have ab then a is the base and b the exponent

4 is the base, 2 is the exponent.

10x 10 is Base & x is exponent

The base could be 11 and the exponent 2, giving 112 But, it could equally be base = 14641, and exponent = 0.5, or base = 10, and exponent = 2.082785 (approx)

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