Question

Exponent Rule of algebra

Find the value of 5^3 / 5^2

A) 5
B) 25
C) 125
D) 1/5

Answer 1

To find the value of 5^3 / 5^2, subtract the exponent in the denominator from the exponent in the numerator (3 - 2), which gives us 5 to the power of 1, or simply 5. Hence, the answer is A) 5.

Step-by-step explanation:

The value of 5^3 / 5^2 involves applying the Division of Exponentials rule, which states that you divide the digit term of the numerator by the digit term of the denominator and subtract the exponents of the exponential terms. In this case, since both the numerator and denominator have the same base (5), you subtract the exponent in the denominator from the exponent in the numerator: 3 - 2 = 1. Therefore, 5^3 / 5^2 simplifies to 5^(3-2), which equals 5^1 or simply 5.

So the correct answer is A) 5.