Math Problem Statement

Simplify 3x^9 * 7x^-2.

Solution

The given mathematical expression in the image is:

3x97x23x^9 \cdot 7x^{-2}

Solution:

To simplify, we follow the rules of exponents:

  1. Multiply the coefficients 33 and 77.
  2. Add the exponents of xx (99 and 2-2).

3x97x2=(37)x9+(2)3x^9 \cdot 7x^{-2} = (3 \cdot 7) \cdot x^{9 + (-2)}

=21x7= 21x^{7}

Final Answer:

21x721x^7

Let me know if you want a detailed explanation or have more questions!


Here are 5 related questions for practice:

  1. Simplify 5x42x35x^4 \cdot 2x^3.
  2. Simplify 8x53x38x^5 \cdot 3x^{-3}.
  3. Simplify 4x7x24x^7 \cdot x^2.
  4. What is 10x32x510x^{-3} \cdot 2x^{-5}?
  5. Simplify (6x2)3(6x^2)^3.

Tip: Always add the exponents when multiplying terms with the same base.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Exponent Rules
Multiplication of Monomials

Formulas

Product of Powers Rule: a^m * a^n = a^(m+n)

Theorems

Laws of Exponents

Suitable Grade Level

Grades 7-9