Gujarat BoardEnglish MediumSTD 7MATHSExponents and Powers2 Marks
Question
Simplify and express in exponential form: $\left(2^3 \times 2\right)^2$
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Answer
In the above question,
We have to simplify the given numbers into exponential form:
Therefore, We have,
$\left(2^3 \times 2\right)^2$
Using identity: $\left(a^m \times a^n=a^{m+n}\right)$
$=\left(2^{3+1}\right)^2=\left(2^4\right)^2$
Using identity: $\left(a^m\right)^n=a^{m n}$
Therefore,
$=2^{4 \times 2}=2^8$
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