Gujarat BoardEnglish MediumSTD 7MATHSExponents and Powers2 Marks
Question
Simplify and express the number in exponential form: $\left(\frac{a^{5}}{a^{3}}\right) \times a^8$
✓
Answer
By the law of exponents we have,
$\frac{x^m}{x^n}=X^{m-n} \text { and } X^m \times X^n=X^{m+n}$
By applying these laws of exponents
$\left(\frac{a^5}{a^3}\right) \times a^8=a^{5-3} \times a^8$
$=a^2 \times a^8=a^{2+8}=a^{10}$
Hence, $\left(\frac{a^5}{a^3}\right) \times a^8=a^{10}$
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