Table of Contents
What is 128 as a power of 2?
Powers of two whose exponents are powers of two
What does base mean in exponents?
The base number tells what number is being multiplied. The exponent, a small number written above and to the right of the base number, tells how many times the base number is being multiplied.
What is the power of 128?
128 is the seventh power of 2. It is the largest number which cannot be expressed as the sum of any number of distinct squares. But it is divisible by the total number of its divisors, making it a refactorable number. The sum of Euler’s totient function φ(x) over the first twenty integers is 128.
What is 2 by the power of 8?
Answer: The value of 2 raised to 8th power i.e., 28 is 256.
What is the third 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.”
Why is 128 a special number?
128 is the seventh power of 2. It is the largest number which cannot be expressed as the sum of any number of distinct squares. But it is divisible by the total number of its divisors, making it a refactorable number. 128 is the only 3-digit number that is a 7th power (27).
What is 9 by the power of 3?
The two crucial terms used frequently in exponents are base and powers. To find 9 to the power of 3, we can write it in exponent form as 93, where 9 is base and 3 is power. It means 9 is multiplied 3 times. So, 9 × 9 × 9 = 729.
How do you solve 2 powers?
When multiplying 2x × 2y, remember that you simply add the exponents together. For example, 23 (8) × 27 (128) = 27 + 3 = 210 (1024). Similarly, you can break up a single power of 2 into two powers which add up to the original power, such as 29 (512) = 26 + 3 = 26 (64) × 23 (8).
What is the 3rd power of 1?
Answer: 3 to the power of 1 is 3. According to the rule of exponent: 3 to the power of 1 can be written as 31. Where the number 3 is called the base, whereas 1 is the power of the expression and we know that any number raised to the power of one equals the number itself.