Question

simplify the expression,
$(a^{22} \times a^{ - 12}) \times (b^{ - 10} \times b^{20} )$
​

Answer 1

Answer:

$( {a}^{22} \times {a}^{ - 12} ) \times ( {b}^{ - 10} \times {b}^{20} ) \\ \\ = {a}^{22 + ( - 12)} \times {b}^{ - 10 + 20} \\ \\ = {a}^{22 - 12} \times {b}^{10} \\ \\ = {a}^{10} \times {b}^{10} \\ \\ = ( {ab})^{10} \\ \\ identity \: used \\ \\ {x}^{m} \times {x}^{n} \\ \\ = {x}^{m + n}$

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