Question

Question 6 (1 point) (01.03 LC) What is the value of 5 to the power of 4 over 5 to the power of 6? (1 point) a 1 over 25 b 1 over 5 c 5 d 25

Answer 1

Answer:

a 1 over 25

Step-by-step explanation:

Problem Statement:

     What is the value of  $\frac{5^{4} }{5 ^{6} }$ ?

To solve this problem, we must familiarize ourselves with the concept of exponents and rules that guides them.

Exponents are used by scientists to report higher orders of a number.

Such large and often recurring expression is usually made up of a base and an exponent value.

The exponent value is the power of the base;   for example, 4³ has 4 as its base and 3 as the exponent.

Several rules guides solving an exponent, to this problem, the most applicable one is :

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

                           $\frac{5^{4} }{5 ^{6} }$   =  $5^{4-6}$  

                                 = $5^{-2}$

                                 = $\frac{1}{25}$                                  

Therefore the solution is 1 over 25