Math, asked by qwerty09813, 7 months ago

16power 1.25 × 4 power 25​

Answers

Answered by adprasad
0

this is the answer for your question

Attachments:
Answered by pulakmath007
1

SOLUTION

TO DETERMINE

 \sf{ {(16)}^{1.25} \times  {(4)}^{25}  }

FORMULA TO BE IMPLEMENTED

 \sf{ 1. \:  \: {( {a}^{m} )}^{n}  =  {a}^{mn}  }

 \sf{ 2. \:  \:  {a}^{m}   \times  {a}^{n}   =  {a}^{m + n} }

EVALUATION

 \sf{ {(16)}^{1.25} \times  {(4)}^{25}  }

 \sf{  = {( {2}^{4} )}^{1.25} \times  {( {2}^{2} )}^{25}  }

 \sf{  = {2}^{(4 \times 1.25)} \times  {2}^{(2 \times 25)}  } \:  \: (by \: formula \: 1)

 \sf{  = {2}^{5} \times  {2}^{50}  }

 \sf{  =  {2}^{5 + 50}  } \:  \: (by \: formula \: 2)

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

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