Simplify. Express your answer using positive exponents.
g
g2g5
To simplify the expression given:
\[ \frac{g}{g^{2} g^{5}} \]
You can combine the exponents in the denominator since they have the same base, which gives you \( g^{2 + 5} \) or \( g^{7} \). So the expression becomes:
\[ \frac{g}{g^{7}} \]
Now, when you divide expressions with the same base, you subtract the exponents:
\[ g^{1 - 7} \]
This simplifies to:
\[ g^{-6} \]
However, you are asked to express your answer using positive exponents. To convert a negative exponent to a positive exponent, you can take the reciprocal of the base raised to the absolute value of the exponent:
\[ g^{-6} = \frac{1}{g^{6}} \]
Thus, the simplified expression with a positive exponent is:
\[ \frac{1}{g^{6}} \]