Question

Could you help me with this maths question? Tysm

Answer 1

The correct answer is:  " $j^(^-^4^)$ "; or; write as:  " $j^{-4}$ ".

_______

Step-by-step explanation:

Given:  " $\frac{j}{j^4* j}$ " ;  assuming:  " $j\neq 0$ " ;
_______
We are asked to express the correct answer (i.e. simplying the expression in a specific manner):  "as a single term, without a denominator."  
_______
  As such, we can cancel out the "j" in the numerator, to "1" ; and cancel out the "j" in the denominator; to "1" ; since:  " j ÷ j = 1 " ;  

→  And we can rewrite the expression as:
   "  $\frac{1}{j^{4}* 1 }$ " ;

         =  " $\frac{1}{j^4}$ " ;
_______
Now, note the following property of exponents:
_______
   " $x$⁽⁻ⁿ⁾ =  $\frac{1}{x^n}$ " ;  {" $x\neq 0$ "} ;
_______
Likewise:
  " $\frac{1}{j^4}$ ⇔ " $j^(^-^4^)$ " ; which is the correct answer:  

  →  " $\frac{1}{j^4} = j^{-4}$ " .
_______
Hope this is helpful to you!
_______

Answer 2

Hi! I will help you with a smile! :)

• Recall the Properties of Exponents:
• $\bold{a^{m} *a^n =a^{m+n}}$
• Now, let's use this property to solve our problem:
• $\displaystyle\frac{j}{j^{4} *j}$
• $\displaystyle\frac{j}{j^{4+1} }$
• $\displaystyle\frac{j}{j^{5} }$
• Now, here comes the 2nd Property of Exponents:
• $\displaystyle\frac{a^{m} }{a^{n} } =a^{m-n}$
• Let's use this property to solve our problem:
• $\displaystyle\frac{j}{j^{5} } =j^{1-5}$
• Think of j as j to the first power.
• Now, subtract the exponents:
• $\bold{j^{-4}}$

Answer:

$\huge\boxed{j^{-4} }}\checkmark$

Hope it helps.

Please comment if you have any doubts.

Answered by

$\fbox{PeacefulNature}$

$\text{Enjoy Your Day, Evening, or Night!}$