Math Problem Statement

Write the expression using exponential form:

-10·bracket(b+4)bracket(b+4)bracket(b+4)bracket(b+4)bracket(b+4)

Solution

To write the given expression in exponential form, count the number of repeated factors and express them using an exponent.

The expression is:

10(b+4)(b+4)(b+4)(b+4)(b+4)-10 \cdot (b + 4)(b + 4)(b + 4)(b + 4)(b + 4)

Since (b+4)(b + 4) is repeated 5 times, we write it as (b+4)5(b + 4)^5. Thus, the expression in exponential form is:

10(b+4)5-10 \cdot (b + 4)^5

Let me know if you'd like further clarifications!


Related Questions:

  1. How do you simplify expressions with exponents and coefficients?
  2. What are the rules for multiplying exponential expressions?
  3. How do you distribute a negative number through an expression like this?
  4. Can this expression be further simplified for any specific values of bb?
  5. How do exponents affect equations when solving for variables?

Tip:

When simplifying expressions with repeated factors, always double-check the number of repetitions to ensure the exponent is accurate.

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Math Problem Analysis

Mathematical Concepts

Exponents
Algebra
Simplification of Expressions

Formulas

Exponential form a^n where 'a' is the base and 'n' is the exponent

Theorems

Laws of Exponents

Suitable Grade Level

Grades 6-8