Answer :
Final answer:
To simplify 5u^(-6)*7x^(7)*2u^(6)y^(7)y^(-9)x and express the result with only positive exponents, you can combine like terms and apply the rules of exponents.
Explanation:
To simplify the expression 5u-6*7x7*2u6y7y-9x and express the result with only positive exponents, we can use the rules of exponents.
- Combine the like terms with the same base. In this case, we have two terms with the base 'u', and two terms with the base 'y'.
- For the terms with the same base, add the exponents. In this case, for 'u', we have -6 + 6 = 0, and for 'y', we have 7 - 9 = -2.
- Using the property that any non-zero number to the power of zero is equal to 1, the term with 'u' as the base becomes 1, and the term with 'y' as the base becomes y-2.
- Now we only have one term left, which is 35x7*y-2*x. We can rearrange the terms as 35*x*7*y-2*x to make it easier to read.
- Using the property of multiplication with exponents, we can add the exponents for x and multiply the coefficients. In this case, we have (35*1) * x7 + 1 * y-2 = 35x8y-2.
Therefore, the simplified expression is 35x8y-2 with only positive exponents.
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