Math Problem Statement

please show me where the parentheses would be in this equation

Solution

Certainly! Here's where you should place the parentheses in the equation:

e4x+e4xe4xe4x\frac{e^{4x} + e^{-4x}}{e^{4x} - e^{-4x}}

This means that the expression should be interpreted as:

  • The numerator: (e4x+e4x)(e^{4x} + e^{-4x})
  • The denominator: (e4xe4x)(e^{4x} - e^{-4x})

So the equation with parentheses is:

(e4x+e4x)(e4xe4x)\frac{(e^{4x} + e^{-4x})}{(e^{4x} - e^{-4x})}

This ensures the correct order of operations, with the entire numerator and denominator being clearly defined.

Would you like more details on how to work with this expression?

Here are 5 related questions:

  1. How can you simplify the expression (e4x+e4x)(e4xe4x)\frac{(e^{4x} + e^{-4x})}{(e^{4x} - e^{-4x})}?
  2. What are some common mistakes to avoid when dealing with exponential expressions?
  3. How do you convert an exponential expression to a logarithmic form?
  4. What happens to the expression if you substitute e4xe^{4x} with another variable, say yy?
  5. How do you solve for xx in the equation (e4x+e4x)(e4xe4x)=k\frac{(e^{4x} + e^{-4x})}{(e^{4x} - e^{-4x})} = k for some constant kk?

Tip: Always double-check the placement of parentheses when working with complex expressions to avoid calculation errors.

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Math Problem Analysis

Mathematical Concepts

Exponential functions
Fractional expressions

Formulas

Exponential function properties

Theorems

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Suitable Grade Level

Grades 10-12