Apply the Property of Negative Integer Exponents to generate an expression equivalent to 3−178−14 with positive exponents only.(1 point) 3−178−14=

Answer 1

To apply the property of negative integer exponents, we first recall that \( a^{-n} = \frac{1}{a^n} \).

We have the expression:

\[ 3^{-1} 7^{-14} \]

We can apply the property to each term:

1. For \( 3^{-1} \): \[ 3^{-1} = \frac{1}{3^1} = \frac{1}{3} \]

2. For \( 7^{-14} \): \[ 7^{-14} = \frac{1}{7^{14}} \]

Now, substituting these into the expression gives us:

\[ 3^{-1} 7^{-14} = \frac{1}{3} \cdot \frac{1}{7^{14}} = \frac{1}{3 \cdot 7^{14}} \]

Therefore, the expression \( 3^{-1} 7^{-14} \) with positive exponents only is:

\[ \frac{1}{3 \cdot 7^{14}} \]