Question

Simplify : i) $p^3÷p^{13}$
ii) $x^{10}÷x^{10}$

• A. i) $p^{-10}$
  ii) $x$ = 1
• B. i) $p^{10}$
  ii) $x$ = 1
• C. i) $p^{10}$
  ii) $x$ = -1
  
• D. i) $p^{-1}$
  ii) $x$ = 10
  

Answer 1

The correct option is A i) $p^{-10}$

ii) $x$ = 1
(1) $p^3÷p^{13}$

$=p^3\times \frac{1}{p^{13}}$

$=\frac{p^3}{p^{13}}$

Now apply law of exponents, $\frac{x^m}{x^n}=x^{m-n}$

So, the expression is

$=p^{3-13}$

$=p^{-10}$

(2) $x^{10}÷x^{10}$

$=x^{10}\times \frac{1}{x^{10}}$

$=\frac{x^{10}}{x^{10}}$

Now apply law of exponents, $\frac{x^m}{x^n}=x^{m-n}$

So, the expression is

$=x^{10-10}$

$=x^0$

$=1$