(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 solve the expression, we can simplify it step by step:
First, within the parentheses, we can simplify the exponents:
(14^3⋅27^−7) = 14^(3) * 27^(-7)
Next, let's apply the exponent outside the parentheses:
(14^(3) * 27^(-7))^(0/3^4) = 14^(3 * 0/3^4) * 27^(-7 * 0/3^4)
Since any number raised to the power of 0 is equal to 1, we can simplify further:
14^(3 * 0/3^4) * 27^(-7 * 0/3^4) = 14^(0/3^4) * 27^(0/3^4)
Any number raised to the power of 0 is equal to 1:
14^(0/3^4) * 27^(0/3^4) = 1 * 1
Therefore, the expression simplifies to 1.