VIDEO: How do you break brackets?

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Brackets are dissolved according to the distributive law. To this at Potencies As with all other calculations, one must observe calculation rules.

Basic rules for brackets and powers

  • Powers are made up of a base (the number) and the exponents (the exponent), potencies are resolved as follows: a³ = a * a * a
  • When calculating potencies one must also observe further rules. The following applies: A power with the exponent 1 results in the base (5 to the power of 1 = 5), a power with the exponent 0 in turn results in 1. (5 to the power of 0 = 1)
  • In addition, rules of resolution apply to powers, which in turn results in some brackets:
  1. a to the power of x * a to the power of y = a to the power of x * y
    2. Dissolve parentheses to the power of 3 - this is how it works

    "Brackets to the power of 3" such as (2x - 7) ³ - that looks like a lot of calculation ...

  2. a to the power of x * b to the power of x = (a + b) to the power of x 
  3. (a to the power of x) to the power of y = a to the power of x * y 
  4. a to the power of -x = 1 / a to the power of x
  5. a to the power of 1 / x = x the root of a
  6. a to the power of -1 / x = 1 / x root of a

How to resolve parentheses

For powers with brackets, proceed as follows: First solve the problem in brackets, then solve the power and finally point calculation before line calculation. Please note the applicable basic rules to resolve the brackets and powers. How to resolve parentheses in potencies can be shown using an example by betting:

  • (6²) ³ = 6² + ³ = 6 to the power of 5 = 6 * 6 * 6 * 6 * 6 = 7776 In this calculation, the rule "If two powers with the same base are multiplied, their exponents are added".

It becomes more complex with larger tasks:

  • (2² - 3) ³ + (15 - 2³) ² = 1³ + 7² = 1 + 49 = 50 here it is best to open one bracket after the other and calculate the powers at the end.

Use the same principle for even more complex tasks. When calculating the potencies, it is especially important that you break the brackets correctly and that you take your time. Learn the rules of potency by heart, you can use them again and again.

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