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Rewrite without negative exponents. Let a, b be numbers (b⁻¹)

a. a / b
b. a × b
c. b / a
d. b × a

1 Answer

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Final answer:

To rewrite expressions without negative exponents, use the rule that any number raised to the power of -n is equal to 1 divided by that number raised to the power of n. Apply this rule to each expression, following the steps provided.

Step-by-step explanation:

To rewrite without negative exponents, we use the rule that any number raised to the power of -n is equal to 1 divided by that number raised to the power of n. Applying this rule to the given expressions:

  1. a / b = a * b-1 = a * (1/b)1
  2. a x b = a * b1
  3. b / a = b * a-1 = b * (1/a)1
  4. b x a = b * a1

So, the expressions without negative exponents are:

  1. a / b = a * (1/b)
  2. a x b = a * b
  3. b / a = b * (1/a)
  4. b x a = b * a

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