High School

Simplify the expression:

\[ 4u^3x^{-4}x^9 \times 2yu^{-3} \times 9y^{-4} \]

Use only positive exponents in your answer.

Answer :

Final answer:

For simplifying the given expression, we need to follow the rules of exponents. After simplifying each term and multiplying them together, the simplified expression is 8u⁴xy⁻².

Explanation:

When simplifying the expression 4u³x⁻⁴x⁹*2yu⁻³*9y⁻⁴ , we can simplify each term separately, then multiply them together. Rule: When multiplying two terms with the same base, add their exponents.

  1. Simplify 4u³x⁻⁴x⁹: 4u³ represents 4 multiplied by u cubed, and x⁻⁴x⁹ represents x to the power of negative four multiplied by x to the power of nine. The result is 4u³x⁵.
  2. Simplify 2yu⁻³: 2 represents the coefficient, y represents the variable, and u⁻³ represents u to the power of negative three. The result is 2yu⁻³.
  3. Simplify 9y⁻⁴: 9 represents the coefficient and y⁻⁴ represents y to the power of negative four. The result is 9y⁻⁴.

Multiply the simplified terms: (4u³x⁵)(2yu⁻³)(9y⁻⁴) = 8u⁴xy⁻²

Learn more about Exponents here:

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