Question

16power 1.25 × 4 power 25​

Answer 1

this is the answer for your question

Answer 2

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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