Question
Solve the following problems. S(2+7^2)+6^3+2S(4-3)+2^2-17+5=underline ( ) a. What is the answer cubed? 4times 6-4+2+vert 17-9vert times 2vert 14+8-2vert times 10+5=underline ( ) a. What is the answer squared? __ 58. Find the GCF for the following numbers: 108 , 72,63 , 54,45 ,36,27 and 18 59. Find the LCM for the following numbers: 24,36,48,72,90,336 and 480 60. 3-vert -2vert +vert -4vert +15-7+vert -25vert -vert -35vert +14-2vert 3+6vert +5vert -3+6vert = a. What is the answer squared? __ b. What is the answer cubed? __ c.What is the answer to the 5th power? __
Solution
4.6
(284 Votes)
Jaylah
Elite ยท Tutor for 8 years
Answer
### 1. 15813251### 2. 10413529### 58. 9### 59. 10080### 60. a. 625### 60. b. 15625### 60. c. 9765625
Explanation
## Step 1: Evaluating the first expression### We follow the order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
likely represents multiplication, so
is
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.So, the expression becomes
.Cubing the result:
.## Step 2: Evaluating the second expression### Again, we follow the order of operations.
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.So, the expression becomes
.Squaring the result:
.## Step 3: Finding the GCF of the given numbers### We list the factors of each number and find the greatest common factor.Factors of 10872: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 45, 54, 72, 108, 151, 302, 453, 604, 906, 1208, 1359, 1812, 2718, 3624, 5436, 10872Factors of 63: 1, 3, 7, 9, 21, 63Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54Factors of 45: 1, 3, 5, 9, 15, 45Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36Factors of 27: 1, 3, 9, 27Factors of 18: 1, 2, 3, 6, 9, 18The GCF is 9.## Step 4: Finding the LCM of the given numbers### We list the multiples of each number and find the least common multiple.Using prime factorization and taking the highest power of each prime factor, the LCM of 24, 36, 48, 72, 90, 336, and 480 is 10080.## Step 5: Evaluating the third expression### We evaluate the expression using the order of operations and the definition of absolute value.
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