Problem: The expression 14y−15−1+3−1\dfrac{1^{4 y-1}}{5^{-1}+3^{-1}}5−1+3−114y−1 is equal to:
Answer Choices:
A. 4y−18\dfrac{4 y-1}{8}84y−1
B. 888
C. 152\dfrac{15}{2}215
D. 158\dfrac{15}{8}815
E. 18\dfrac{1}{8}81 Solution:
The numerator becomes 111 , the denominator becomes 15+13=815\dfrac{1}{5}+\dfrac{1}{3}=\dfrac{8}{15}51+31=158, and 1÷815=1581 \div \dfrac{8}{15}=\dfrac{15}{8}1÷158=815 \quad