Question
Simplify: $7 ^ { \frac { 1 } { 2 } } \cdot 8 ^ { \frac { 1 } { 2 } }$
We know that $a ^ { m } \cdot b ^ { m } = ( a \times b ) ^ { m }$.
So, $7 ^ { \frac { 1 } { 2 } } \cdot 8 ^ { \frac { 1 } { 2 } } = ( 7 \times 8 ) ^ { \frac { 1 } { 2 } }$
$= ( 56 ) ^ { \frac { 1 } { 2 } }$
Therefore, the value of $7 ^ { \frac { 1 } { 2 } } \cdot 8 ^ { \frac { 1 } { 2 } }$will be $( 56 ) ^ { \frac { 1 } { 2 } }$.
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