You are watching: What is the quotient of 2^4/2^-4
Divide: 3/5 : 2/3 = 3/5 · 3/2 = 3 · 3/5 · 2 = 9/10 dividing two fractions is the very same as multiplying the first fraction through the reciprocal value of the 2nd fraction. The first sub-step is to uncover the reciprocal (reverse the numerator and denominator, reciprocal of 2/3 is 3/2) the the second fraction. Next, multiply the 2 numerators. Then, multiply the two denominators. In the following intermediate step, the portion result can not be additional simplified by canceling.In various other words - three fifths divided by two thirds = nine tenths.
Rules for expressions v fractions: Fractions - usage the cut “/” in between the numerator and also denominator, i.e., because that five-hundredths, go into 5/100. If you are using mixed numbers, be sure to leaving a solitary space between the totality and portion part.The cut separates the numerator (number above a portion line) and also denominator (number below).Mixed numerals (mixed fractions or combined numbers) write as non-zero essence separated by one room and portion i.e., 12/3 (having the same sign). An instance of a an unfavorable mixed fraction: -5 1/2.Because slash is both indicators for portion line and division, us recommended usage colon (:) as the operator of department fractions i.e., 1/2 : 3.Decimals (decimal numbers) go into with a decimal suggest . and also they are immediately converted to fractions - i.e. 1.45.The colon : and slash / is the price of division. Deserve to be supplied to divide blended numbers 12/3 : 43/8 or have the right to be supplied for write complicated fractions i.e. 1/2 : 1/3.An asterisk * or × is the symbol because that multiplication.Plus + is addition, minus authorize - is subtraction and also ()<> is mathematical parentheses.The exponentiation/power prize is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2
The calculator follows renowned rules because that order the operations. The most typical mnemonics because that remembering this stimulate of operations are: PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction BODMAS - Brackets, the or Order, Division, Multiplication, Addition, Subtraction.
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GEMDAS - Grouping signs - brackets (), Exponents, Multiplication, Division, Addition, Subtraction. it is in careful, always do multiplication and division before addition and also subtraction. Part operators (+ and -) and also (* and also /) has the very same priority and also then should evaluate native left to right.