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Explain how the quotient of powers was used to simplify this expression

Explain how the quotient of powers was used to simplify this expression-example-1
User Ray J Tong
by
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1 Answer

5 votes

Answer:

See explanation

Explanation:

Given:

5⁴/25 = 5²

25 = 5²

Then,

5⁴ / 25

= 5⁴/5²

Note:

• multiplication sign means addition in indices

• Division sign means subtraction in indices

Both numerator and denominator have the same base, so you'll pick one of the bases and subtract the powers

So,

5⁴/5²

= 5^(4 - 2)

= 5^(2)

= 5²

Therefore,

5⁴ / 25 = 5²

User Dani Van Der Meer
by
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