Table of Contents
What is 3 2 as an exponent?
3 to the 2nd power can be written as 32 = 3 × 3, as 3 is multiplied by itself 2 times. Here, 3 is the “base” and 2 is the “exponent” or “power.”
How do you find an exponent?
The base B represents the number you multiply and the exponent “x” tells you how many times you multiply the base, and you write it as “B^ x.” For example, 8^3 is 8X8X8=512 where “8” is the base, “3” is the exponent and the whole expression is the power.
What is 3 with the exponent of?
Exponent Tables and Patterns
| Powers of 3 | Powers of 9 |
|---|---|
| 33=27 | 93=729 |
| 34=81 | 94=6561 |
| 35=243 | 95=59,049 |
| 36=729 | 96=531,441 |
How do you divide exponents?
To divide exponents (or powers) with the same base, subtract the exponents. Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.
What is a half exponent?
If an exponent of a number is a fraction, it is called a fractional exponent. Exponents show the number of times a number is replicated in multiplication. For example, 42 = 4×4 = 16. In the number, say x1/y, x is the base and 1/y is the fractional exponent. …
What is the exponent of 4 to the 3rd power?
4 to the 3rd power = 81. Therefore the exponent is 81. 2 raised to the power calculator. Example for 2 raised to the power 9 (2 to the 9th power) 2 9. 2*2*2*2*2*2*2*2*2 = 512. 3*3*3*3 = 81. 7 to the power of 4. 4 7.
How are exponents multiplied in an exponent calculator?
When exponents are raised to another exponent, the exponents are multiplied. (a m) n = a (m × n) EX: (2 2) 4 = 4 4 = 256 (2 2) 4 = 2 (2 × 4) = 2 8 = 256 When multiplied bases are raised to an exponent, the exponent is distributed to both bases.
When to subtract exponents with the same base?
For exponents with the same base, we should subtract the exponents: 2 6 / 2 3 = 2 6-3 = 2 3 = 2⋅2⋅2 = 8 When the bases are diffenrent and the exponents of a and b are the same, we can divide a and b first:
How to solve fractions with negative exponents?
Fractions with negative exponents The base a/b raised to the power of minus n is equal to 1 divided by the base a/b raised to the power of n: (a / b) -n = 1 / (a / b) n = 1 / (an / bn) = bn / an The base 2 raised to the power of minus 3 is equal to 1 divided by the base 2 raised to the power of 3: