Express the given expression in the power notation and also find their value.
$(- 2) \times (- 2) \times (- 2) \times (- 4) \times (- 4)$

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Solution

Hint: $- a \times - a \times - a \times - a \times - a . . . . . u p t o n t e r m s$
$= {(a)}^{n} {i f n i n e v e n} = - {(a)}^{n} {i f n i s o d d}$
Step 1: Given expression: $(- 2) \times (- 2) \times (- 2) \times (- 4) \times (- 4)$
Step2: Solution:
According to given criteria above:
$(- 2) \times (- 2) \times (- 2) \times (- 4) \times (- 4) = - {(2)}^{3} \times {(4)}^{2}$
$- {(2)}^{3} \times {(4)}^{2}$ , this is the required power notation.
Step3: Finding the value:
$(- 2) \times (- 2) \times (- 2) \times (- 4) \times (- 4) = - 8 \times 16 = - 128$
$- 128$ , this is the required value.
Hence ${- (2)}^{3} \times {(4)}^{2} a n d - 128$ .

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