(a^3)^2 Without Exponents

less than a minute read Jun 16, 2024
(a^3)^2 Without Exponents

Understanding (a^3)^2 without Exponents

The expression (a^3)^2 might seem confusing at first glance, but it's actually quite straightforward when broken down. Let's explore how to write it without exponents.

Breaking Down the Exponents

  • a^3: This means "a multiplied by itself three times": a * a * a
  • (a^3)^2: This means "a^3 multiplied by itself two times": (a * a * a) * (a * a * a)

Expanding the Expression

Expanding the expression, we get:

(a * a * a) * (a * a * a) = a * a * a * a * a * a

Simplifying with Multiplication

Since we are multiplying the same variable 'a' by itself six times, we can write it as:

a * a * a * a * a * a = a^6

Conclusion

Therefore, (a^3)^2 is equivalent to a^6. This demonstrates that when dealing with exponents raised to another exponent, we simply multiply the powers.

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