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Simplify. Express your answer using positive exponents.\newlineh2h6h8\frac{h^2}{h^6 \cdot h^8}

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Q. Simplify. Express your answer using positive exponents.\newlineh2h6h8\frac{h^2}{h^6 \cdot h^8}
  1. Identify Operation: Identify the operation needed for the exponents.\newlineWhen dividing powers with the same base, we subtract the exponents.
  2. Combine Exponents: Rewrite the expression as a single power of hh. The expression h2h6h8\frac{h^2}{h^6 \cdot h^8} can be simplified by combining the exponents in the denominator and then subtracting from the exponent in the numerator.
  3. Combine Denominator: Combine the exponents in the denominator.\newlineh6×h8=h(6+8)=h14h^6 \times h^8 = h^{(6 + 8)} = h^{14}
  4. Subtract Exponents: Subtract the exponent in the denominator from the exponent in the numerator. \newlineh2/h14=h(214)=h12h^2/h^{14} = h^{(2 - 14)} = h^{-12}
  5. Express with Positive Exponent: Express the answer with a positive exponent.\newlineSince we want the answer with a positive exponent, we take the reciprocal of the base to make the exponent positive.\newlineh12=1h12h^{-12} = \frac{1}{h^{12}}

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