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Lady bird [3.3K]
3 years ago
7

Use the properties of exponents to simplify the expression: 25 3/2

Mathematics
1 answer:
HACTEHA [7]3 years ago
8 0
<h2><em>For any Real numbers  a ,  b ,  c  with  a  >  0  we find:</em></h2><h2><em>a ^b c = ( a ^b )^ c</em></h2><h2><em>In our example,  </em></h2><h2><em>25 = 5 ^2 , so we find:</em></h2><h2><em>=25 ^3/ 2 </em></h2><h2><em>= ( 5^ 2 ) 3/ 2 </em></h2><h2><em>= 5 ^2 ⋅ 3 /2</em></h2><h2><em> = 5^ 3 </em></h2><h2><em>= 125</em></h2>
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