Question
Simplify and express in exponential form: $\frac{3^{7}}{3^{4} \times 3^{2}}$
✓
Answer
In the above question,
We have to simplify the given numbers into exponential form:
We have,
$\frac{3^7}{3^4 \times 3^2}$
Using identity: $\left(a^m \times a^n=a^{m+n}\right)$
$=\frac{3^7}{3^7}$
Using identity $\left(a^m \div a^n=a^{m-n}\right)$
$=3^{7-7}=3^0=1$
We have to simplify the given numbers into exponential form:
We have,
$\frac{3^7}{3^4 \times 3^2}$
Using identity: $\left(a^m \times a^n=a^{m+n}\right)$
$=\frac{3^7}{3^7}$
Using identity $\left(a^m \div a^n=a^{m-n}\right)$
$=3^{7-7}=3^0=1$
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