%5E3-without-exponents.jpeg "(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:
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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.