Simplify : $$\frac{{16 \times 32}}{{9 \times 27 \times 81}} = ?$$
A. $${\left( {\frac{2}{3}} \right)^9}$$
B. $${\left( {\frac{2}{3}} \right)^{11}}$$
C. $${\left( {\frac{2}{3}} \right)^{12}}$$
D. $${\left( {\frac{2}{3}} \right)^{13}}$$
E. None of these
Answer: Option A
Solution(By Examveda Team)
$$\eqalign{ & \frac{{16 \times 32}}{{9 \times 27 \times 81}} \cr & = \frac{{{2^4} \times {2^5}}}{{{3^2} \times {3^3} \times {3^4}}} \cr & = \frac{{{2^{\left( {4 + 5} \right)}}}}{{{3^{\left( {2 + 3 + 4} \right)}}}} \cr & = \frac{{{2^9}}}{{{3^9}}} \cr & = {\left( {\frac{2}{3}} \right)^9} \cr} $$Related Questions on Surds and Indices
A. $$\frac{1}{2}$$
B. 1
C. 2
D. $$\frac{7}{2}$$
Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to:
A. 1.45
B. 1.88
C. 2.9
D. 3.7
Join The Discussion