Math Problem Statement

open parenthesis from \left(3r\right)^2

Solution

The given expression is:

(3r)2\left(3r\right)^2

To simplify, apply the exponent to both terms inside the parentheses:

(3r)2=32r2(3r)^2 = 3^2 \cdot r^2

=9r2= 9r^2

Thus, the simplified form of (3r)2\left(3r\right)^2 is 9r29r^2.

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Related Questions:

  1. How do you simplify expressions with exponents and parentheses?
  2. What are the rules for distributing exponents over multiplication?
  3. How do you handle negative exponents in an expression?
  4. What happens when you raise a fraction to a power?
  5. How do you simplify (2x3y)4\left(2x^3y\right)^4?

Tip: When an exponent is applied to a product inside parentheses, distribute the exponent to each term separately.

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Math Problem Analysis

Mathematical Concepts

Exponents
Algebra
Simplifying Expressions

Formulas

(ab)^n = a^n * b^n

Theorems

Exponentiation Rules

Suitable Grade Level

Grades 6-8