Math Problem Statement

Simplify b^4 * b^10

Solution

To simplify b4b10b^4 \cdot b^{10}, we use the rule of exponents which states that when multiplying like bases, we add the exponents:

b4b10=b4+10=b14b^4 \cdot b^{10} = b^{4+10} = b^{14}

Thus, the simplified expression is b14b^{14}.

Would you like a detailed explanation on exponent rules or have any further questions?

Here are some related questions to explore:

  1. How do you simplify expressions with different bases?
  2. What are the properties of exponents for division?
  3. How does raising a power to a power work?
  4. Can you explain negative exponents and their meaning?
  5. How do fractional exponents relate to roots?

Tip: When multiplying powers with the same base, always add the exponents.

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Math Problem Analysis

Mathematical Concepts

Exponents
Algebra

Formulas

b^m * b^n = b^(m + n)

Theorems

Exponent Multiplication Rule

Suitable Grade Level

Grades 6-8