Respuesta :

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:

Student claim is correct.                      

Step-by-step explanation:

Given : A student claims that [tex]8^3\cdot 8^5[/tex]  is greater than 1.

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

Solution :

We solve the expression that student claim,

[tex]8^3\cdot 8^5[/tex]

Applying property of power, [tex]a^b\cdot a^c=a^{b+c}[/tex]

[tex]8^3\cdot 8^5=8^{8}[/tex]

[tex]8^3\cdot 8^5=16777216[/tex]

As [tex]16777216>1[/tex]

So, [tex]8^3\cdot 8^5>1[/tex]

Student claim is correct.

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