PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. The solution of the given expression (2×2)² - [3+(2×2)]/(6-4) is 14.
<h3>What is PEMDAS?</h3>
PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. PEMDAS is an acronym that stands for P-Parenthesis, E-Exponents, M-Multiplication, D-Division, A-Addition, and S-Subtraction.
As per the rule of PEMDAS, the given expression can be simplified as shown below.
(2×2)² - [3+(2×2)]/(6-4)
Step 1: Solving Parenthesis,
= 4² - (3+4) / (2)
= 4² - 4/2
Step 2: Solving exponents,
= 16 - 4/2
Step 3: Solving Divisions,
= 16 - 2
Step 4: Solving Subtraction,
= 14
Hence, the solution of the given expression (2×2)² - [3+(2×2)]/(6-4) is 14.
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The simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.
<h3>What is an integer exponent?</h3>
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The number expression is:
= (2⁴)⁻¹
Using the properties of the integer exponent:
= 1/2⁴
The above number is one over two raised to the fourth power
Thus, the simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.
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Answer:
Step-by-step explanation:
sum of ratio=3+6=9
Jeff invest=3/9×146,000=146000/3=48666 2/3 $
Trudy invest=6/9×146,000=292,000/3=97,333 1/3 $
D is the correct answer to your question
