(3y)^3 Without Exponents

less than a minute read Jun 16, 2024
(3y)^3 Without Exponents

Understanding (3y)^3 without Exponents

The expression (3y)^3 represents the cube of the quantity (3y). To understand this without using exponents, let's break it down:

The Meaning of Cubing

Cubing a number means multiplying it by itself three times. So, (3y)^3 is equivalent to:

(3y) * (3y) * (3y)

Expanding the Multiplication

Now, let's expand this multiplication step by step:

  • Step 1: Multiply the first two factors: (3y) * (3y) = 9y^2
    (Remember that when multiplying variables with exponents, we add the exponents together.)

  • Step 2: Multiply the result from Step 1 by the remaining factor: (9y^2) * (3y) = 27y^3

Conclusion

Therefore, (3y)^3 without exponents is equivalent to 27y^3.

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