Question
$5^0 \times 25^0 \times 125^0=\left(5^0\right)^6$
✓
Answer
True.
Solution:
Here, $5^0 \times 25^0 \times 125^0$
$=5^0 \times(5 \times 5)^0 \times(5 \times 5 \times 5)^0$
${[\therefore 25=5 \times 5 \text { and } 125=5 \times 5 \times 5]}$
$=5^0 \times 5^0 \times 5^0 \times 5^0 \times 5^0 \times 5^0\left[\therefore a^m \times b^m=a^m b^m\right]$
$=\left(5^0\right)^6$
Hence, $5^0 \times 25^0 \times 125^0$
$=\left(5^0\right)^6$
Solution:
Here, $5^0 \times 25^0 \times 125^0$
$=5^0 \times(5 \times 5)^0 \times(5 \times 5 \times 5)^0$
${[\therefore 25=5 \times 5 \text { and } 125=5 \times 5 \times 5]}$
$=5^0 \times 5^0 \times 5^0 \times 5^0 \times 5^0 \times 5^0\left[\therefore a^m \times b^m=a^m b^m\right]$
$=\left(5^0\right)^6$
Hence, $5^0 \times 25^0 \times 125^0$
$=\left(5^0\right)^6$
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