Question

1. Simplify and write in exponential form.
$1.( {2}^{5} \times {2}^{8}) \times {2}^{5}$
$2. \frac{1}{8} \times {3}^{ - 3}$
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Answer 1

Step-by-step explanation:

$1.( {2}^{5} \times {2}^{8}) \times {2}^{5}$

$= {2}^{5 + 8} \times {2}^{5}$

$= {2}^{13} \times {2}^{5}$$= {2}^{15} \times {2}^{5} \\ = {2}^{8}$

2. 1/3 × 3-³

= 1/2³ × 1/3³

= 1/6⅔

Answer 2

Step-by-step explanation:

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$( {2}^{5} \times {2}^{8}) \times {2}^{5} \\ \\ {2}^{(8 + 5)} \times {2}^{5} \\ \\ {2}^{(13)} \times {2}^{5} \\ \\ {2}^{18} \\ \ hope \: it \: helps \: uh$

2 = 1/3 × 3-³

= 1/2³ × 1/3³

= 1/6⅔