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

a 1 over 25

Explanation:

Answer 2

a 1 over 25

Explanation:

Problem Statement:

What is the value of
`(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 :

`(x^(a) )/(x^(b) )` =
`x^((a-b))`

`(5^(4) )/(5 ^(6) )` =
`5^(4-6)`

=
`5^(-2)`

=
`(1)/(25)`

Therefore the solution is 1 over 25