Reviewed by Jessica Kaminski
What is 6 to the 3rd power?
Answer: 6 to the 3rd power is 216
Raising a number to a power means multiplying that number by itself as many times as indicated by the exponent. When we say '6 to the 3rd power,' we mean multiplying 6 by itself three times in a row. This concept is a fundamental part of exponents in mathematics.
Methods
Math Tutor Explanation Using the Multiplication Method
To find 6 to the 3rd power, multiply 6 by itself three times. This involves a simple sequence of multiplications.
Step 1: Step 1: Write the expression as 6 × 6 × 6
Step 2: Step 2: First, multiply 6 × 6 to get 36
Math Tutor Explanation Using Exponential Notation
The notation 6³ represents 6 multiplied by itself 3 times. This is called exponential notation and can be used with any base and exponent.
Step 1: Step 1: Recognize that 6³ means 6 × 6 × 6
Step 2: Step 2: Calculate the result by multiplying step by step: first 6 × 6 = 36, then 36 × 6 = 216
Step 1:
Step 2:
Math Tutor suggests: More Practice with Powers and Exponents
Want to deepen your understanding of exponents and powers? Try these related questions and strengthen your skills.
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 6 to the 3rd power the same as 3 to the 6th power?
No, 6 to the 3rd power is 216, while 3 to the 6th power is 729.
How do I write 6 to the 3rd power in mathematical notation?
You write it as 6³.
What is another way to say 'to the 3rd power'?
To the 3rd power' is also referred to as 'cubed.'
Can exponents be negative?
Yes, a negative exponent indicates the reciprocal of the base raised to the corresponding positive exponent.
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