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Simplify. Express your answer using positive exponents.\newline9a53a3⋅a2\frac{9a^5}{3a^3 \cdot a^2}

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Multiply and divide powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents.\newline9a53a3⋅a2\frac{9a^5}{3a^3 \cdot a^2}
  1. Simplify Denominator: Simplify the denominator 3a3×a23a^3 \times a^2.\newlineCalculation: 3a3×a2=3a3+2=3a53a^3 \times a^2 = 3a^{3+2} = 3a^5.
  2. Divide Numerator: Divide the numerator by the simplified denominator.\newlineCalculation: 9a53a5=(93)∗(a5a5)=3∗a5−5=3∗a0=3∗1=3\frac{9a^5}{3a^5} = \left(\frac{9}{3}\right) * \left(\frac{a^5}{a^5}\right) = 3 * a^{5-5} = 3 * a^0 = 3 * 1 = 3.

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