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Simplify. Express your answer using positive exponents.\newline4h3h2\frac{4h^3}{h^2}

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Multiply powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents.\newline4h3h2\frac{4h^3}{h^2}
  1. Write Expression: Write down the expression to be simplified.\newlineThe expression given is 4h3h2\frac{4h^3}{h^2}.
  2. Divide Powers: Simplify the expression by dividing the powers of hh. When dividing powers with the same base, we subtract the exponents. h3h2=h3−2=h1=h\frac{h^3}{h^2} = h^{3-2} = h^1 = h
  3. Keep Coefficients: Since the bases are the same and we are dividing, the coefficients (numerical parts) remain unchanged.\newlineThe coefficient is 44, so we have 4×h4 \times h.
  4. Final Simplified: Write the final simplified expression.\newlineThe simplified expression is 4h4h.

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