apply the properties of integral exponents to generate equivalent expressions to (14^3 • 27^-7)^0/3^4 with only positive exponents then solve the expression your answer will be a simplified fraction with no remaining exponents
To apply the properties of integral exponents, we can rewrite the expression using the following rules:
1. Product Rule: (a^m • b^n)^p = a^(m*p) • b^(n*p)
2. Quotient Rule: (a^m / b^n)^p = a^(m*p) / b^(n*p)
3. Power Rule: (a^m)^n = a^(m*n)
Using these rules, we can simplify the expression step by step:
Step 1: Applying the Power Rule within the parentheses:
(14^3 • 27^-7)^0/3^4 = (14^(3*0) • 27^(-7*0)) / 3^(4*0)
= (14^0 • 27^0) / 3^0
= 1 / 1
= 1
So, the simplified expression is 1, which is also the solution.