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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.
- 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.
- 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.
- 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
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