Math Problem Statement

Solution

The expression in the image is x6×x3x^6 \times x^3.

To simplify this expression, we use the laws of exponents, specifically the rule that states when you multiply two exponents with the same base, you add the exponents:

x6×x3=x6+3=x9x^6 \times x^3 = x^{6+3} = x^9

So, the simplified form of the given expression is x9x^9.

Would you like more details or have any questions?

Here are five more questions you might consider:

  1. How do you simplify (x4×y3)2(x^4 \times y^3)^2?
  2. What is the derivative of x9x^9 with respect to xx?
  3. How do you solve the equation x9=512x^9 = 512 for xx?
  4. What is the integral of x9x^9 with respect to xx?
  5. How do you expand (x+y)3(x + y)^3?

Tip: When working with exponents, remember the basic rules: multiplying adds exponents, dividing subtracts exponents, and raising a power to a power multiplies exponents.

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Math Problem Analysis

Mathematical Concepts

Exponents
Laws of Exponents

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8