(3x^5y)^5

less than a minute read Jun 16, 2024

Simplifying (3x^5y)^5

This expression involves both exponents and parentheses, meaning we need to apply the rules of exponents to simplify it.

Here's how we do it:

Distribute the outer exponent: The exponent outside the parentheses applies to everything inside.
- (3x^5y)^5 = 3^5 * (x^5)^5 * y^5
Simplify each term:
- 3^5 = 243
- (x^5)^5 = x^(5*5) = x^25
- y^5 = y^5
Combine the terms:
- 243 * x^25 * y^5 = 243x^25y^5

Therefore, the simplified form of (3x^5y)^5 is 243x^25y^5.

Key takeaways:

When raising a power to another power, multiply the exponents.
When an exponent is applied to a product, it applies to each factor individually.
Remember the order of operations (PEMDAS) when simplifying expressions.