Exponents can be used to simplify notation when the same factor is repeated
To divide the numerator and the denominator of a ratio by the same factor means to simplify or reduce the ratio. This is done by dividing both numbers in the ratio by their greatest common factor, which results in an equivalent ratio.
Divide the numerator and the denominator by the same number to simplify a fraction. This number must be a common factor of the numerator and the denominator. For example, 50 is a common factor of the numerator and denominator of 350/400. By dividing each by 50, 350/400 can be simplified to 7/8.
This is simply 75 / 140. Try to simplify this, by dividing numerator and denominator by the same number, that is, check if there is a common factor.
By looking for common factors - factors that appear in both numbers - and dividing both numbers by the same factor.
To simplify a root, you need to be aware that the root of ab is the same as the root of a multiplied by the root of b. To simplify we need to find the prime factors of the number and identify any repeated factors. In this case, we have 850, which is expressed as 2x5x5x17. The 5 comes twice, and so we can divide by 25 to give 34. There are no more repeated factors. Therefore the square root of 850 is 5 the square root of 34.
An Exponent is a shorthand notation for repeated multiplication of the same factor. For instance: 5^4 actually means 5 x 5 x 5 x 5 = 625
Exponential notation is used to represent repeated multiplication of the same factor.
You simplify the fraction.
exponent
To divide the numerator and the denominator of a ratio by the same factor means to simplify or reduce the ratio. This is done by dividing both numbers in the ratio by their greatest common factor, which results in an equivalent ratio.
Exponents are a way of representing repeated multiplication by the same factor. 3 x 3 x 3 = 33
You can write this as 51:36.Note: You can simplify ratios the same way you simplify fractions; that is, if you find a number that is a factor of BOTH numbers, you can divide both numbers by that factor, to get an equivalent ratio.
When adding or subtracting numbers in scientific notation, ensure that the exponents are the same. If the exponents are not the same, adjust one or both numbers to match. Then, add or subtract the coefficients while keeping the exponent the same. Finally, simplify the result if necessary by converting it back to proper scientific notation.
The same way you simplify any fraction: 1) Look for common factors between the two numbers. 2) If you find one, divide both numbers by that factor.
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Divide the numerator and the denominator by the same number to simplify a fraction. This number must be a common factor of the numerator and the denominator. For example, 50 is a common factor of the numerator and denominator of 350/400. By dividing each by 50, 350/400 can be simplified to 7/8.
This is simply 75 / 140. Try to simplify this, by dividing numerator and denominator by the same number, that is, check if there is a common factor.