Its not that hard.
Half of the inch part is 1/2 inch which is also 4/8.
half of the 3/4 part is 3/8 you get by multiplying the denominator by 2.
Put it all back together and you get the 4/8 part and the 3/8 part so in total its 7/8 of an inch.
How do you do parentheses with exponents?
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First, simplify inside the parentheses: 23 • 22 = 25 (add the exponents). Then raise that term to the power outside the parentheses: (25)4 = 220 (multiply the exponents).
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This means that you should do what is possible within parentheses first, then exponents, then multiplication and division (from left to right), and then addition and subtraction (from left to right). If parentheses are enclosed within other parentheses, work from the inside out.
One may also ask, do you multiply exponents in parentheses? When a quantity in parentheses is raised to a power, the exponent applies to everything inside the parentheses. Simplify the expression, keeping the answer in exponential notation. Only multiply exponents when taking the power of a power, not when you are multiplying terms. Then, you add the exponents.
Correspondingly, how do you do operations with exponents?
Order of Operations with Exponents
- Rule 1: Simplify all operations inside parentheses.
- Rule 2: Perform all multiplications and divisions, working from left to right.
- Rule 3: Perform all additions and subtractions, working from left to right.
- Rule 1: Simplify all operations inside parentheses.
- Rule 2: Simplify all exponents, working from left to right.
What is 3 by the power of 4?
3 raised to the power of 4 is written 34 = 81.
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