Question
Simplify and express the following in exponential form:
$\Big({\frac{5}{2}}\Big)^6\times\Big(\frac{5}{2}\Big)^2$

Answer

$\Big({\frac{5}{2}}\Big)^6\times\Big(\frac{5}{2}\Big)^2$
We know that,
$\left(a^m \times a^n\right)=(a)^{m+n}$
Here, $\text{a}=\frac{5}{2}$
$=\Big(\frac{5}{2}\Big)^{6+2}$
$=\Big(\frac{5}{2}\Big)^8$

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