Question

Change into positive exponent. 5 ⁻⁴/ 5 ⁻⁶

Answer 1

• As per the data given in the question, we have to change into a positive exponent.

       Given data:-$\frac{5^{-4} }{5^{-6} }.$

       To change:- into positive exponent.

       Solution:- If the bases of two numbers in the division are the same, then exponents are subtracted and the base will be the same.

• $\frac{x^{a} }{x^{b} }=x^{a-b}.$
• We will apply the above exponents rules, we get,

       $=\frac{5^{-4} }{5^{{-6} } }\\=5^{-4+6} \\=5^{2} \\=25.$

   Hence, the value will be $25.$

       

 

Answer 2

According to question we asked to change the given  negative exponential expression into positive

Given  : $\frac{5^{-4} }{5^{-6} }$

To change : into positive exponent.

Solution :

• To solve we will use quotient rule of exponent .
• It states that If the bases of two numbers in fraction is  same, then exponents are subtracted keeping  base same.

                                $\frac{x^{a} }{x^{b} } = x^{a - b }$

• We will apply the above exponents rule to change into positive.

                              $=\frac{5^{-4}}{5^{-6}} \\=5^{-4+6} \\=5^{2} \\=25\end{array}$  

Hence, the value will be 25 .