(2y^2)^3 Without Exponents

Jasonbradley

2 min read

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Jun 16, 2024

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Understanding (2y^2)^3 Without Exponents

The expression (2y^2)^3 might seem intimidating, but we can break it down into simpler terms and understand it without relying on exponents.

What does it mean?

The expression (2y^2)^3 means that we are multiplying 2y^2 by itself three times:

(2y^2)^3 = (2y^2) * (2y^2) * (2y^2)

Expanding the Expression

Let's break down each multiplication step:

1. (2y^2) * (2y^2):

   • Multiply the coefficients: 2 * 2 = 4
   • Multiply the variables: y^2 * y^2 = y^(2+2) = y^4
   • Result: 4y^4

2. (4y^4) * (2y^2)

   • Multiply the coefficients: 4 * 2 = 8
   • Multiply the variables: y^4 * y^2 = y^(4+2) = y^6
   • Result: 8y^6

Final Result

Therefore, (2y^2)^3 without exponents is:

(2y^2)^3 = 8y^6

This shows that we can break down any expression involving exponents into simpler multiplication steps, allowing us to understand the process without relying on the exponent notation.