Apply the Properties of Integer 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.(1 point)
To apply the properties of integer exponents, we need to simplify the expression step by step.
First, let's simplify the exponent in the expression: (14^3⋅27^−7)^0/3^4
The exponent 0 means any non-zero number raised to the power of 0 is equal to 1. So, we have:
(14^3⋅27^−7)^0 = 1
Now we have:
1/3^4
Next, let's simplify the exponent in the expression: 1/3^4
The exponent 4 means 3^4 = 3 * 3 * 3 * 3 = 81. So we have:
1/3^4 = 1/81
Therefore, the simplified expression is 1/81.