Gujarat BoardEnglish MediumSTD 7MATHSExponents and Powers2 Marks
Question
Simplify and express in exponential form: $25^4 \div 5^3$
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Answer
In the above question,
We have to simplify the given numbers into exponential form:
We have,
$25^4 \div 5^3=(5 \times 5)^4 \div 5^3$
Using identity: $\left(a^m\right)^n=a^{m n}$
$=5^2 \div 4 \div 5^3=5^8 \div 5^3$
Using identity: $\left(a^m \div a^n=a^{m-n}\right)$
$5^8 \div 5^3=5^{8-3}=5^5$
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