vicki0919
vicki0919 vicki0919
  • 01-07-2021
  • Mathematics
contestada

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

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

Respuesta :

adioabiola
adioabiola adioabiola
  • 06-07-2021

Answer:

See explanation

Step-by-step 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

Answer Link

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