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Simplify. Express your answer using positive exponents.\newline9h2(9h)(h4)\frac{9h^2}{(9h)(h^4)}

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Multiply and divide powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents.\newline9h2(9h)(h4)\frac{9h^2}{(9h)(h^4)}
  1. Simplify Expression: Simplify the expression by canceling common factors in the numerator and the denominator.\newlineCalculation: \newline9h29h⋅h4\frac{9h^2}{9h \cdot h^4} \newline= 9h29h5\frac{9h^2}{9h^5}\newline= h2−5h^{2-5}\newline= h−3h^{-3}
  2. Calculate: Convert the negative exponent to a positive exponent by writing h−3h^{-3} as 1/h31/h^{3}.\newlineCalculation:\newlineh−3=1/h3h^{-3} = 1/h^{3}

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