Reviewed by Camille Ira B. Mendoza
What is 3 to the 3rd power?
Answer: 3 to the 3rd power is 27
Calculating a number raised to a power, such as 3 to the 3rd power, involves multiplying the number by itself a certain number of times. In this case, it helps us understand exponents and how repeated multiplication works.
Methods
Math Tutor Explanation Using Exponent Multiplication Method
To find 3 to the 3rd power, multiply 3 by itself three times.
Step 1: Step 1: Start with the base number 3
Step 2: Step 2: Multiply 3 × 3 × 3
Math Tutor Explanation Using Exponent Definition Method
An exponent means the base (here, 3) is used as a factor as many times as the exponent indicates (here, 3 times).
Step 1: Step 1: Recognize that 3^3 means three factors of 3
Step 2: Step 2: Write it out as 3 × 3 × 3 and solve
Step 1:
Step 2:
Math Tutor suggests: Practice Exponents and Powers
Expand your understanding of exponents and powers with these related exercises focusing on different bases raised to powers.
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 the exponent indicates.
Is 3 to the 3rd power the same as 3 multiplied by 3?
No, 3 multiplied by 3 is 9, but 3 to the 3rd power is 3 × 3 × 3, which is 27.
Can exponents be negative or zero?
Yes. Negative exponents represent reciprocals; a zero exponent gives a value of 1 for any nonzero base.
How do you write 3 to the 3rd power using mathematical notation?
You write it as 3^3.
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