Question

3*7^2*11^0/11^3*21
options:
a.7×11^5
b. 7×11^8
c. 7³*11
d. 7³*11^8​

Answer 1

$3 \times {7}^{2} \times {11}^{0} \div {11}^{3} \times 21 \\ \\ \frac{3 \times {7}^{2} \times {11}^{0} }{ {11}^{3} \times 21} \\ \\ \frac{ {3}^{1} \times {7}^{2} \times {11}^{0} }{ {11}^{3} \times 3^{1} \times 7^{1} } \\ \\ {7}^{2 - 1} \times {11}^{0 - 3} \\ {7}^{1} \times {11}^{ - 3} = 7 \times {11}^{ - 3}$