Math Problem Statement

Simplify the expression x^3(x^4).

Solution

The expression shown in the image is:

x3(x4)x^3 (x^4)

To simplify this expression, we use the property of exponents that states:

aman=am+na^m \cdot a^n = a^{m+n}

Applying this property, we add the exponents:

x3x4=x3+4=x7x^3 \cdot x^4 = x^{3 + 4} = x^7

So, the simplified expression is:

x7\boxed{x^7}

Would you like a detailed explanation or have any other questions?

Here are some related questions to explore:

  1. How do you simplify expressions with different bases?
  2. What is the rule for multiplying powers of the same base?
  3. How do you divide expressions with exponents?
  4. How do you simplify expressions involving negative exponents?
  5. How do you simplify expressions with fractional exponents?

Tip: When multiplying powers with the same base, simply add the exponents to simplify the expression.

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Math Problem Analysis

Mathematical Concepts

Algebra
Exponents

Formulas

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

Theorems

Exponent multiplication rule

Suitable Grade Level

Grades 6-8