unicornsavage5172
unicornsavage5172 unicornsavage5172
  • 08-12-2021
  • Mathematics
contestada

What is the value of (-a) to the 4th power / (-a) to the 3rd power

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reinhard10158
reinhard10158 reinhard10158
  • 09-12-2021

Step-by-step explanation:

(-a)⁴ / (-a)³ = -a

since both terms have the same exponent base (-a), we can simply do the regular exponent arithmetic (multiplication = +, division = -)

4 - 3 = 1

so, the exponent 1 remains.

it works also, if we process the exponents first

(-a)⁴ = a⁴

(-a)³ = -(a³)

a⁴/-(a³) = a/-1 = -a

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