Math Problem Statement

give me similar questions to this: If ( 5 b ) 3 a

25 (5 b ) 3a =25, what is the value of 36 a b 36ab?

Solution

Here are 5 similar questions based on the structure of your equation:

  1. If (4c)2d=16(4c)^{2d} = 16, what is the value of 49cd49cd?
  2. If (6x)3y=216(6x)^{3y} = 216, what is the value of 64xy64xy?
  3. If (7m)2n=49(7m)^{2n} = 49, what is the value of 81mn81mn?
  4. If (8p)4q=256(8p)^{4q} = 256, what is the value of 100pq100pq?
  5. If (3k)5l=243(3k)^{5l} = 243, what is the value of 25kl25kl?

Tip:

When solving equations like these, it's helpful to break them down by isolating one variable at a time, simplifying powers, and then solving step by step.

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Math Problem Analysis

Mathematical Concepts

Exponents
Algebraic Expressions

Formulas

(xb)^ya = c
Multiplication of algebraic terms
Exponent rules

Theorems

Exponentiation rules (Power of a power)
Simplification of equations

Suitable Grade Level

Grades 8-10