The equivalent expression with only positive exponents, generated by applying the Property of Negative Integer Exponents, is:
Start Fraction 1 over 9 superscript 13 baseline times 14 superscript negative 7 baseline End Fraction
Responses
147913
Start Fraction 14 superscript 7 baseline over 9 superscript 13 baseline End Fraction
913147
Start Fraction 9 superscript 13 baseline over 14 superscript 7 baseline end fraction
1913 ⋅14−7
Start Fraction 1 over 9 superscript 13 baseline times 14 superscript negative 7 baseline End Fraction
14−7⋅913
Start Fraction 1 over 9 superscript 13 baseline times 14 superscript negative 7 baseline End Fraction
\[ \frac{1}{9^{13}} \cdot 14^{-7} \]
Start Fraction 14 superscript 7 baseline over 9 superscript 13 baseline End Fraction
The exponent property states that if a number is raised to a negative exponent, we can rewrite it as the reciprocal of that number raised to the positive exponent.
Let's break down the given expression step by step:
Step 1: 14 - 79 - 13
Step 2: 14 raised to the power of 1 (14^1) - 79 raised to the power of 1 (79^1) - 13 raised to the power of 1 (13^1)
Step 3: Since the powers are all 1, we don't need to do anything with them and can simplify further:
14 - 79 - 13
So, the simplified expression with only positive exponents is:
14 - 79 - 13 = 14 - 79 - 13