Question

(-2)² × (2)³ find answer

Answer 1

SOLUTION

TO DETERMINE

The value of

$\sf{ {( - 2)}^{2} \times {(2)}^{3} }$

FORMULA TO BE IMPLEMENTED

We are aware of the formula on indices that

$\sf{ {a}^{m} \times {a}^{n} = {a}^{m + n} }$

EVALUATION

$\sf{ {( - 2)}^{2} \times {(2)}^{3} }$

$\sf{ = {( 2)}^{2} \times {(2)}^{3} \: \: \: \: \: \big( \: \because \: {( - a)}^{2} = {a}^{2} \big) }$

$\sf{ = {( 2)}^{2 + 3} }$

$\sf{ = {2}^{5} }$

$\sf{ = 2 \times 2 \times 2 \times 2 \times 2}$

$\sf{ = 32 }$

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