Question

A student claims that 8^3 • 8^5 is greater than 1. Explain whether the student is correct or not. Please help me quick, this assignment is due in 2 hours.

Answer 1

If you elevate any positive number to a positive exponent like in the case of those two numbers you will always get a number bigger than 1. Even more so if you multiply the results of these two numbers by each other.

Answer 2

Student claim is correct.

Explanation:

Given : A student claims that
`8^3\cdot 8^5` is greater than 1.

To find : Explain whether the student is correct or not ?

Solution :

We solve the expression that student claim,

`8^3\cdot 8^5`

Applying property of power,
`a^b\cdot a^c=a^(b+c)`

`8^3\cdot 8^5=8^(8)`

`8^3\cdot 8^5=16777216`

As
`16777216>1`

So,
`8^3\cdot 8^5>1`

Student claim is correct.