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Simplify. Express your answer using positive exponents. \newline4h9h\frac{4h^9}{h}

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Q. Simplify. Express your answer using positive exponents. \newline4h9h\frac{4h^9}{h}
  1. Write Expression: Write down the expression to be simplified.\newlineWe have the expression 4h9h\frac{4h^9}{h}.
  2. Apply Quotient Rule: Apply the quotient rule for exponents. The quotient rule states that when we divide two powers with the same base, we subtract the exponents. So, 4h9/h4h^{9}/h can be written as 4×h(91)4 \times h^{(9-1)}.
  3. Perform Subtraction: Perform the subtraction in the exponent.\newlineSubtract the exponents: 91=89 - 1 = 8.\newlineSo, 4×h914 \times h^{9-1} becomes 4×h84 \times h^8.
  4. Write Final Expression: Write the final simplified expression.\newlineThe expression 4h9h\frac{4h^9}{h} simplifies to 4h84h^8.