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Simplify. Express your answer using positive exponents. \newline9aa\frac{9a}{a}

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Multiply powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents. \newline9aa\frac{9a}{a}
  1. Identify Expression: Identify the expression to be simplified.\newlineWe have the expression 9aa\frac{9a}{a}, which means 9a9a divided by aa.
  2. Simplify by Dividing: Simplify the expression by dividing.\newlineSince 9a9a and aa both contain the variable aa, we can divide them by each other. When we divide like terms, we subtract the exponents.\newline9aa=9a1a1=9×a1−1=9×a0\frac{9a}{a} = \frac{9a^1}{a^1} = 9 \times a^{1-1} = 9 \times a^0
  3. Apply Exponent Rule: Apply the exponent rule.\newlineAny non-zero number raised to the power of 00 is 11.\newlinea0=1a^0 = 1
  4. Multiply Coefficient: Multiply the coefficient by the simplified variable term. 9×a0=9×1=99 \times a^0 = 9 \times 1 = 9
  5. Write Final Expression: Write the final simplified expression.\newlineThe expression 9aa\frac{9a}{a} simplifies to 99.

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