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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.

Lvl 1

No 243=3⁵

Q: What is the base and exponent of 243?

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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

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)

The base is 7 and the exponent is 3.

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.

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243 = 35

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

1/243

It equals 4. When you have an exponent ( a number cubed, squared, so on ) it means times the base number by itself however many times the number of the exponent. Example: 35 = 3x3x3x3x3 = 243

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

4 is the base, 2 is the exponent.

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

For 104 the base is 10 and the exponent is 4.

The base is 7 and the exponent is 3.

Base -7 Exponent 12