root 1331 * 343 divide 49 - 28 =
Root 1331 * 343 divide 49 - 28 =
Answer: Let’s break down the given mathematical expression step by step to understand how to solve it.
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Calculate the Cube Roots:
- First, we need to find the cube root of 1331. The cube root of a number ( n ) is a number ( a ) such that ( a^3 = n ).
- ( 11^3 = 1331 ) therefore, the cube root of 1331 is 11.
- Then, find the cube root of 343. Similarly, the cube root of a number ( n ) is ( a ) where ( a^3 = n ).
- ( 7^3 = 343 ) so, the cube root of 343 is 7.
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Perform the Multiplication:
- Multiply the results from the previous step: ( 11 \times 7 = 77 ).
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Perform the Division:
- Divide the multiplication result by 49: ( \frac{77}{49} ).
- Simplifying this, we have: ( \frac{77}{49} = \frac{77}{49} = 1.57142857 ) or simplifying further, ( \frac{77}{49} = \frac{49 \times 1 + 28}{49} = 1 + \frac{28}{49} = 1 + \frac{4}{7} = 1.57142857 ).
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Subtract 28:
- From the result of the division, subtract 28: ( 1.57142857 - 28 = -26.42857143 ).
Therefore, the expression root 1331 * 343 divide 49 - 28
results in (-26.42857143).
In summary, the problem primarily involved calculating cube roots and performing arithmetic operations following the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction).