Question

SIMPLIFY AND WRITE THE FOLLOWING IN EXPONENTIAL FORM: 3^-5×3^2÷3^-6+(2^2×3)^2+(2/3)^-1+2^-1+(1/19)^-1​

Answer 1

Step-by-step explanation:

${3}^{ - 5} \times {3}^{2} \div {3}^{ - 6} + ( {2}^{2} \times 3) ^{2} + { (\frac{2}{3}) }^{ - 1} + {2}^{ - 1} + 1 + { \frac{1}{19} }^{ - 1} \\ \\ = {3}^{ - 5 + 2 + 6} + {2}^{4} \times {3}^{2} + \frac{3}{2} + \frac{1}{2} + 1 + 19 \\ \\ = {3}^{ 3} + {2}^{4} \times {3}^{2} + ( \frac{3 + 1 + 2 + 38}{2} ) \\ \\ ={3}^{ 3} + {2}^{4} \times {3}^{2} + ( \frac{43}{2} ) \\ \\ = {3}^{2} (3 + {2}^{4} ) + \frac{43}{2} \\ \\ = 9(3 + 16) + \frac{43}{2} \\ \\ = 9 \times 19 + \frac{43}{2} \\ \\ = 171 + \frac{43}{2} \\ \\ = \boxed{\frac{385}{2}}$