Math Problem Statement

w^4 x p x w^3

Solution

To simplify w4×p×w3w^4 \times p \times w^3:

  1. Combine the terms with the same base, ww. w4×w3=w4+3=w7w^4 \times w^3 = w^{4+3} = w^7

  2. Now, rewrite the expression with the simplified term: w7×p=pw7w^7 \times p = p \cdot w^7

The simplified form of the expression is: pw7p \cdot w^7

Would you like more details on any steps, or do you have further questions?

Additional Related Questions

  1. How would you simplify w5×w2×p2w^5 \times w^2 \times p^2?
  2. What is the general rule for multiplying terms with the same base?
  3. How do you handle expressions with different variables in multiplication?
  4. Can you simplify (w3)4(w^3)^4 using exponent rules?
  5. What happens when you divide terms with the same base, like w7÷w2w^7 \div w^2?

Tip

When multiplying terms with the same base, simply add their exponents. This is one of the key exponent rules.

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Math Problem Analysis

Mathematical Concepts

Algebra
Exponentiation
Multiplication of terms with the same base

Formulas

w^a * w^b = w^(a+b)

Theorems

Exponent rules for multiplication

Suitable Grade Level

Grades 6-8