Question

solve the sum using algebraic expressions

Answer 1

2²×2²×[3^2-1]

4×4 × 3

48

or

2²÷2^-2×3²×3^-1

2^2-(-2)×3^2-1

2^4×3

your solution in standard situation.

Answer 2

${2}^{2} \times \frac{ {3}^{2} }{ {2}^{ - 2} } \times {3}^{ - 1} \\ \\ \\ \\ {2}^{2} \times \frac{ {3}^{2} }{ \frac{1}{ {2}^{2} } } \times \frac{1}{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ \: ( {a}^{ -x} = \frac{1}{ { a}^{x} } )} \\ \\ \\ \\ {2}^{ 2 } \times {3}^{2} \times {2}^{2} \times \frac{1}{3} \\ \\ \\ {2}^{2 + 2} \times 3 \\ \\ \\ {2}^{4} \times 3 \\ \\ \\ 16 \times 3 \\ \\ \\ 48$