3 to power of 6= 216 , 3 to power of 9= 729
Base 6, exponent 5.
Yes, 6 is the base and 2 is the exponent in 6^2. To solve, 6 * 6 = 36 since we know that an exponent is not, in this instance, 6 * 2, but 6 * 6. If it was 6^3, the answer would be 6 * 6 * 6 = 216.
The power or exponent, such as 3^x [3x: 3 is the base, x is the exponent]: you multiply 3 by itself, x times. So if you have 3^6 = 3 * 3 * 3 * 3 * 3 * 3 = 729. The ^ means raise to the power, or to the exponent. It is used in some programming languages and in spreadsheet software.
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 of an exponent is the main number. For example in 56 the number 5 is the base and 6 is the exponent.
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
11(base number) was multiplied by it's own number five times, in exponent form that would be eleven to the power of 5 ex: 11x11x11x11x11=11to the power of 5
1.2
The standard form is 216 Exponent form is 2.16 x 102
279936 can be expressed as 6^8 in a single exponent. This is because 6^8 equals 279936 when multiplied out. In exponential form, the base (6) is raised to the power of 8 to get the result of 279936.
When simplifying (6^5) over (6^3), you subtract the exponents because you are dividing two powers with the same base. So, (6^5) over (6^3) equals (6^{5-3}), which simplifies to (6^2). Therefore, the final answer is 36.
That depends by what you mean by "with an exponent". If you meant an exponent as in "to the power of" then 6 ** 2 = 6 * 6 = 36 If you meant the exponent in scientific notation then 6E2 = 6 * 10 ** 2 = 600