Reviewed by Marvi M. Andres
What is 2 to the 6th power?
Answer: 2 to the 6th power is 64
Exponentiation is a mathematical operation that involves raising a base number to a certain power. In the case of '2 to the 6th power,' we are determining the value when the number 2 is used as a factor six times in multiplication. This concept appears in many areas of math and science, including exponential growth and binary calculations.
Methods
Math Tutor Explanation Using the Exponentiation Method
Exponentiation involves multiplying the base by itself as many times as indicated by the exponent. Here, 2 is the base, and 6 is the exponent.
Step 1: Step 1: Identify the base (2) and the exponent (6)
Step 2: Step 2: Multiply 2 by itself six times: 2 × 2 × 2 × 2 × 2 × 2
Math Tutor Explanation Using Repeated Doubling
Another way to think about powers of 2 is repeated doubling, especially useful for mental calculation or understanding pattern growth.
Step 1: Step 1: Start with the number 2
Step 2: Step 2: Double the result five more times to reach the sixth power (2 → 4 → 8 → 16 → 32 → 64)
Step 1:
Step 2:
Math Tutor suggests: Practice More Powers and Exponents
Want to strengthen your skills with exponents and powers? Check out these related problems for more practice.
FAQ on Exponents and Powers
What does it mean to raise a number to a power?
It means multiplying the number by itself as many times as indicated by the exponent.
Is 2 to the 6th power the same as 6 times 2?
No, 2 to the 6th power is multiplying 2 by itself six times, while 6 times 2 is just simple multiplication.
Why are powers of 2 important in computing?
Powers of 2 are used in computer science because digital systems are based on binary numbers.
How do I calculate higher exponents by hand?
Multiply the base by itself repeatedly as many times as the exponent indicates.
What is 2 to the 0 power?
Any number to the 0 power is 1.
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