What is 2/3 as an exponent?
Table of Contents
What is 2/3 as an exponent?
8
Answer: 2 raised to the third power is equal to 23 = 8. Explanation: 2 to the 3rd power can be written as 23 = 2 × 2 × 2, as 2 is multiplied by itself 3 times. Here, 2 is called the “base” and 3 is called the “exponent” or “power.”
What does an exponent of 2 3 mean?
An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.
What is the value 2 3?
Decimal Doings To convert 2/3 to decimal, divide the numerator by the denominator: 2 / 3 = 0.66666 7, which you can round to 0.67.
What if exponent is a fraction?
Fractional Exponents When the exponent is a fraction, you’re looking for a root of the base. The root corresponds to the denominator of the fraction. For example, take “125 raised to the 1/3 power,” or 125^1/3. The denominator of the fraction is 3, so you’re looking for the 3rd root (or cube root) of 125.
How do you raise to a 1/3 power?
Fractional Exponents For example, take “125 raised to the 1/3 power,” or 125^1/3. The denominator of the fraction is 3, so you’re looking for the 3rd root (or cube root) of 125. Because 5 x 5 x 5 = 125, the 3rd root of 125 is 5. Thus, 125^1/3 = 5.
What is 2 to the 3rd power in standard form?
Learn about the rules of exponents with the following examples and interactive exercises.
| Exponential Form | Factor Form | Standard Form |
|---|---|---|
| 23 = | 2 x 2 x 2 = | 8 |
| 24 = | 2 x 2 x 2 x 2 = | 16 |
| 25 = | 2 x 2 x 2 x 2 x 2 = | 32 |
| 26 = | 2 x 2 x 2 x 2 x 2 x 2 = | 64 |
What is the value of 2 Power 4?
16
Exponent Tables and Patterns
| Powers of 2 | Powers of 3 | Powers of 4 |
|---|---|---|
| 24=16 | 34=81 | 44=256 |
| 25=32 | 35=243 | 45=1024 |
| 26=64 | 36=729 | 46=4096 |
| 27=128 | 37=2187 | 47=16384 |
