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Simplify 5^-4/5^3 (help please asap)

Simplify 5^-4/5^3 (help please asap)-example-1

2 Answers

8 votes

Answer:

=5^(-4)*5^(-3)

=5^(-7)

=1/5^(7)

Explanation:

i took the denominator and multiplied it to the numerator

when powers of the same base are multiplying we add the exponents, so I added the -3 to -4 and got -7 which gives me 5^(-7) which is 1/5^(7)

User Freezystem
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3 votes

Answer:

  1. Rewrite 5

  2. {5}^(2?)
  3. as

  4. {5} -^(4?) * {5}^(7?)
  5. Cancel out 5-4 both numerator and denominator

  6. \frac{1}{5 {}^(?7) ?}
  7. calculate 5 to the power of 7 and get 78125

  8. (1)/(78125)
  9. is equal to 0.0000128
User Charles
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3.4k points