(2n^2)^3 Without Exponents

Jasonbradley

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Jun 16, 2024

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Simplifying (2n^2)^3 without Exponents

The expression (2n^2)^3 involves exponents, but we can rewrite it without them. Let's break it down step by step:

Understanding Exponents

An exponent indicates how many times a base number is multiplied by itself. In this case:

• Base: 2n^2
• Exponent: 3

Expanding the Expression

The exponent 3 means we multiply the base by itself three times:

(2n^2)^3 = (2n^2) * (2n^2) * (2n^2)

Simplifying the Multiplication

Now, we multiply each term individually:

• 2 * 2 * 2 = 8
• n^2 * n^2 * n^2 = n^(2+2+2) = n^6

Final Result

Combining the simplified terms, we get:

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

Therefore, the expression (2n^2)^3 without exponents is 8n^6.