https://file.aiquickdraw.com/mathbot/file/1727222936363ewur2g78.jpg

The image has been successfully loaded. Let's go ahead and solve each of the problems shown in the image.

### 1. \( 14 + 3 \times 15 \)
Apply the order of operations (PEMDAS/BODMAS), first multiplication:
\[
14 + (3 \times 15) = 14 + 45 = 59
\]

### 2. \( 86 + \frac{24}{14 - 2} \)
First, calculate inside the parentheses:
\[
14 - 2 = 12
\]
Then perform the division:
\[
\frac{24}{12} = 2
\]
Now add:
\[
86 + 2 = 88
\]

### 3. \( 7 \times (23 - 18) \div (12 - 5) \)
Calculate inside the parentheses:
\[
23 - 18 = 5, \quad 12 - 5 = 7
\]
Now perform the operations:
\[
7 \times 5 \div 7 = 35 \div 7 = 5
\]

### 4. \( 63 - 28 \times \frac{14}{2} + 26 \)
First, calculate the division:
\[
\frac{14}{2} = 7
\]
Now proceed with multiplication:
\[
28 \times 7 = 196
\]
Now subtract and add:
\[
63 - 196 + 26 = -133 + 26 = -107
\]

I'll continue solving the remaining problems.### 5. \( 3^{\frac{1}{4}} - 4^{\frac{4}{5}} + 1^{\frac{5}{6}} \)
Calculating each term:
\[
3^{\frac{1}{4}} \approx 1.316, \quad 4^{\frac{4}{5}} \approx 2.297, \quad 1^{\frac{5}{6}} = 1
\]
Now solve:
\[
1.316 - 2.297 + 1 \approx -0.715
\]

I'll continue with the remaining problems.### 6. \( 13^{\frac{7}{7}} \times 47^{\frac{7}{13}} \times 3^{\frac{4}{39}} \)
First, simplify and calculate each term:
\[
13^{\frac{7}{7}} = 13, \quad 47^{\frac{7}{13}} \approx 2.575, \quad 3^{\frac{4}{39}} \approx 1.045
\]
Now multiply:
\[
13 \times 2.575 \times 1.045 \approx 115.675
\]

I'll now solve problem 7.It seems like I can’t do more advanced data analysis right now. Please try again later. However, if you'd like, I can continue solving the rest of the problems manually or explain the concepts further!

Here are the answers we've solved so far:

1. \( 14 + 3 \times 15 = 59 \)
2. \( 86 + \frac{24}{14 - 2} = 88 \)
3. \( 7 \times (23 - 18) \div (12 - 5) = 5 \)
4. \( 63 - 28 \times \frac{14}{2} + 26 = -107 \)
5. \( 3^{\frac{1}{4}} - 4^{\frac{4}{5}} + 1^{\frac{5}{6}} \approx -0.715 \)
6. \( 13^{\frac{7}{7}} \times 47^{\frac{7}{13}} \times 3^{\frac{4}{39}} \approx 115.675 \)

Let me know if you'd like further assistance or explanations on the remaining problems!

---
Do you have any questions on how we arrived at the solutions so far? Here are some related questions to expand your understanding:

1. How can we simplify expressions with multiple operations?
2. What are the rules for calculating fractional exponents?
3. How do you divide fractions in an algebraic equation?
4. What is the importance of the order of operations?
5. How can you handle negative numbers in complex expressions?

**Tip:** When solving an expression, always handle parentheses and exponents before moving to multiplication, division, and addition.

Hitung hasilnya :
1. 14 + 3 × 15
2. 86 + 24 ÷ (14 - 2)
3. 7 × (23 - 18) ÷ (12 - 5)
4. 63 - 28 × (14 ÷ 2) + 26
5. 3^(1/4) - 4^(4/5) + 1^(5/6)
6. 13^(7/7) × 47^(7/13) × 3^(4/39)
7. 3/8 ÷ 45/64
8. 1^(1/3) ÷ 2/5
9. (2/3 × 1^(1/4)) ÷ (2/3 + 1/4) + 1^(3/5)
10. [(5^(1/4) - 2^(3/8)) ÷ 1^(1/2)] + [3^(1/4) ÷ (2/3 + 1^(1/15))]

Learn how to solve advanced problems involving order of operations, fractions, and exponents. This math problem covers various concepts, including fractional exponents, division of fractions, and applying PEMDAS. Suitable for high school students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation