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Simplify.8a⁻⁵b⁻²c⁹/(4a⁴c⁷. Write your answer using only positive exponents

User Nmio
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Final answer:

To simplify the given expression, divide the coefficients and subtract the exponents of the variables with the same base. The simplified expression is 2a⁻⁹b⁻²c².

Step-by-step explanation:

To simplify the expression 8a⁻⁵b⁻²c⁹/(4a⁴c⁷), we can divide the coefficients and subtract the exponents of the variables with the same base. In this case, we have:

8/4 = 2

a⁻⁵/a⁴ = a⁻⁵⁻⁴ = a⁻⁹

b⁻² remains the same

c⁹/c⁷ = c⁹⁻⁷ = c²

Combining these results, the simplified expression is 2a⁻⁹b⁻²c².

User Smohadjer
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