Is 2 to the power of 3 the same as 3 to the power of 2?
Table of Contents
Is 2 to the power of 3 the same as 3 to the power of 2?
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 is 3 by the power of 2?
Answer: 3 raised to the second power is equal to 32 = 9. Let us understand this with the help of the following explanation. Explanation: 3 to the 2nd power can be written as 32 = 3 × 3, as 3 is multiplied by itself 2 times.
What is 3 to the power of minus 2 as a fraction?
1/9
Answer: 3 to the power of negative 2 is 1/9. Let’s solve the question further step by step. Basically, a negative exponent shows that how many times we can multiply the reciprocal of the base. Hence, 3 to the power of negative 2 can be written as 1/32.
What is 2 in the power of 2?
A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent….Powers of two whose exponents are powers of two.
| n | 2n | 22n (sequence A001146 in the OEIS) |
|---|---|---|
| 3 | 8 | 256 |
| 4 | 16 | 65,536 |
| 5 | 32 | 4,294,967,296 |
How do you find the power of 2?
Method-2: Keep dividing by 2 Keep dividing the number by two, i.e, do n = n/2 iteratively until n becomes 1. In any iteration, if n\%2 becomes non-zero and n is not 1 then n is not a power of 2. If n becomes 1 then it is a power of 2.
What is the value of 3 2 as a fraction?
1 ½
Answer: The value of 3 divided by 2 as a fraction is 3/2 = 1 ½.
What is -3 to the power of 2?
-3 to the power of two is most likely saying you want to raise the number -3 to the power of 2 which translates to ( − 3) 2. If that is not your intent then you need to make that clear with your words. Try the negative of the quantity 3 to the power of 2. As an aside I was just realizing that things get even messier with speech.
What is 8 to the 2/3 power as a fraction?
When you have a fractional exponent, the numerator is the power and the denominator is the root. So in this case, 8 to the 2/3 power, 2 is the power and 3 is the root.
How do you convert 8 to a power of 2?
Note that 8 = 2 × 2 × 2 = 2 3. That is what they mean by “converting 8 to a power of 2 “. That means we can rewrite our equation as 2 30 ( 2 3) 9 = 2 x. Note that now everything is a power of 2, which means we can simplify things quite a bit. 2 30 2 ( 3 × 9) = 2 30 2 27 = 2 30 − 27 = 2 3. So, x = 3.
What is X to the negative power of -2?
Anytime there is a number to a negative power, the answer is expressed as a fraction. Although no fraction is expressed, the negative number is indicative of a fractional answer. i.e. x to the -2 is actually 1 over x squared. If x were two, the answer would be one-fourth.
https://www.youtube.com/watch?v=zxr5zdvS8Uo