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Simplify. Express your answer using positive exponents.\newline8g8g7\frac{8g}{8g^7}

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Multiply and divide powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents.\newline8g8g7\frac{8g}{8g^7}
  1. Simplify Expression: Simplify the expression by dividing the coefficients and subtracting the exponents.\newlineWhen we divide terms with the same base, we subtract the exponents. The coefficients (the numbers in front of the variables) are both 88, so they will divide out to 11.\newline8g8g7=88⋅g1g7\frac{8g}{8g^7} = \frac{8}{8} \cdot \frac{g^1}{g^7}\newline=1⋅g(1−7)= 1 \cdot g^{(1-7)}\newline=g−6= g^{-6}
  2. Divide Coefficients and Subtract Exponents: Express the negative exponent as a positive exponent. A negative exponent means that the base is on the wrong side of the fraction line, so we flip it to make the exponent positive. g−6=1g6g^{-6} = \frac{1}{g^6}

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