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Simplify. Express your answer using positive exponents.\newline9g59g9\frac{9g^5}{9g^9}

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Multiply powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents.\newline9g59g9\frac{9g^5}{9g^9}
  1. Divide and Subtract Exponents: Simplify the expression 9g5/9g99g^5/9g^9.\newlineFirst, divide the coefficients and subtract the exponents of gg since they have the same base.\newline9/9=19/9 = 1 and g5/g9=g(5−9)=g−4g^5/g^9 = g^{(5-9)} = g^{-4}
  2. Express with Positive Exponents: Express the answer using positive exponents.\newlineSince g−4g^{-4} means 1/g41/g^4, rewrite the expression.\newline1×g−4=1/g41 \times g^{-4} = 1/g^4

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