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When completely simplified, (25^(4)times...

When completely simplified, `(25^(4)times5^(2))/(25^(5))` has value of:

A

`0`

B

`1`

C

`5`

D

`25`

Text Solution

Verified by Experts

The correct Answer is:
B
Difficult: Easy
Category: Passport to Advanced Math/ Exponents
Strategic Advice: Raising large numbers to high powers is very time-consuming without a calculator. Instead, start by using the rules of exponents to simplify expressions written in the same base.Then raise any remaining numbers to the resulting powers.
Getting to the Answer: The power of 25 is larger in the denominator, so subtract exponents there. Then simplify further if possible: `=(25^(4)times5^(2))/(25^(5))=(5^(2))/(25^(5-4))=(25)/(25)=1`, which is (B).
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