Express the following fraction in simplest form, only using positive exponents. (2(u^(-2)h^(-1))^(-1))/(6u^(-9)h^(9)) Answer:

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Express the following fraction in simplest form, only using positive exponents.  (2(u^(-2)h^(-1))^(-1))/(6u^(-9)h^(9)) Answer:

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Simplify numerator: Simplify the numerator by applying the negative exponent rule. The negative exponent rule states that a^(-n) = 1/(a^n). We apply this rule to the numerator. (2(u^(-2)h^(-1))^(-1)) = 2/(u^(-2)h^(-1))Simplify denominator: Simplify the denominator by applying the negative exponent rule. The negative exponent rule states that a^(-n) = 1/(a^n). We apply this rule to the denominator. 6u^(-9)h^(9) = 6/(u^(9)h^(-9))Combine numerator and denominator: Combine the numerator and denominator. We have 2/(u^(-2)h^(-1)) over 6/(u^(9)h^(-9)), which is a complex fraction. To simplify, we multiply the numerator by the reciprocal of the denominator. (2/(u^(-2)h^(-1))) * ((u^(9)h^(-9))/6)Multiply numerators and denominators: Simplify the expression by multiplying the numerators and denominators. (2 * u^(9) * h^(-9)) / (u^(-2) * h^(-1) * 6)Apply exponent rule: Apply the exponent rule for multiplication, which states that a^(m) * a^(n) = a^(m+n). 2 * u^(9 + (-2)) * h^(-9 + (-1)) / 6 = 2 * u^(7) * h^(-10) / 6Simplify fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2. (2/6) * u^(7) * h^(-10) = (1/3) * u^(7) * h^(-10)Apply negative exponent rule: Apply the negative exponent rule to h^(-10) to express it with a positive exponent. (1/3) * u^(7) * (1/h^(10))Combine terms: Combine the terms to express the final answer. (1/3) * u^(7) / h^(10)

Express the following fraction in simplest form, only using positive exponents. $\newline$ $\frac{2\left(u^{-2} h^{-1}\right)^{-1}}{6 u^{-9} h^{9}}$ $\newline$ Answer:

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Express the following fraction in simplest form, only using positive exponents. $\newline$ $\frac{2\left(u^{-2} h^{-1}\right)^{-1}}{6 u^{-9} h^{9}}$ $\newline$ Answer: