Math, asked by kuvsbrao, 10 months ago

please please please please please please please please please please please please please please answer all questions please please please please please​

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Answers

Answered by kartik2507
0

Step-by-step explanation:

1)

 {( \frac{1}{3} )}^{3}  \times  {( \frac{1}{3}) }^{4}  \times  {( \frac{1}{3}) }^{5}  \\  =  {( \frac{1}{3}) }^{3 + 4 + 5}  \\  =  {( \frac{1}{3} )}^{12}  \ \:  \:  \:  \:  \:  \:  \: or \:  \:  \:  \:  \:  \:  \:   \frac{1}{ {3}^{12} }

2)

  { - 3}^{5}  \times  { - 3}^{4}  \times  { - 3}^{6}  \\  =  {( - 3)}^{5 + 4 + 6}  \\  =  { ( - 3)}^{15}  \\

3)

 {3}^{4}  \times  { (\frac{4}{3}) }^{3}  \\  =  {3}^{4}  \times  {4}^{3}  \times  {3}^{ - 3}  \\  =  {4}^{3}  \times  {3}^{4 - 3}  \\  = 64 \times 3 \\  = 192

4)

 \frac{ {5}^{ - 4} }{ {5}^{ - 3} }  \times  {5}^{2}  \\  =  {5}^{ - 4}  \times  {5}^{2}  \times  {5}^{3}  \\  =  {5}^{ - 4 + 2 + 3}  \\  =  {5}^{ - 4 + 5}  \\  =  {5}^{1}  = 5

5)

 {( - 2)}^{3}  \times  {5}^{3}  \\  =  {( - 2 \times 5)}^{3}  \\  =  {( - 10)}^{3}  \\  =  - 1000

hope you get your answers

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