https://file.aiquickdraw.com/mathbot/file/17286685189779betl7yy.jpg

Let's solve each part of the expressions shown in the image step by step.

### Expression 1:
\[
\left(\frac{1}{4} \times \frac{4}{1} - \frac{7}{8}\right)
\]

1. Multiply \(\frac{1}{4}\) by \(\frac{4}{1}\):
   \[
   \frac{1}{4} \times \frac{4}{1} = 1
   \]
2. Subtract \(\frac{7}{8}\) from 1:
   \[
   1 - \frac{7}{8} = \frac{8}{8} - \frac{7}{8} = \frac{1}{8}
   \]

So, the result of the first part is:
\[
\frac{1}{8}
\]

### Expression 2:
\[
\sqrt[3]{4}
\]

This is asking for the cube root of 4. Since the cube root of 4 is not an integer, the exact value is:
\[
\sqrt[3]{4} \approx 1.5874
\]

### Expression 3:
\[
\frac{8}{8} - \frac{7}{8}
\]
This simplifies to:
\[
\frac{1}{8}
\]

### Expression 4:
\[
2^3
\]

This is \(2\) raised to the power of \(3\):
\[
2^3 = 8
\]

### Expression 5:
\[
\frac{1}{8} \times \frac{8}{1}
\]

This simplifies to:
\[
\frac{1}{8} \times 8 = 1
\]

### Final Answer Summary:
1. \(\left(\frac{1}{4} \times \frac{4}{1} - \frac{7}{8}\right) = \frac{1}{8}\)
2. \(\sqrt[3]{4} \approx 1.5874\)
3. \(\frac{8}{8} - \frac{7}{8} = \frac{1}{8}\)
4. \(2^3 = 8\)
5. \(\frac{1}{8} \times \frac{8}{1} = 1\)

Would you like any further details or explanations? Here are five related questions to deepen your understanding:

1. How do you simplify fractions with common denominators?
2. What is the cube root of a number and how is it calculated?
3. How do powers of numbers work in arithmetic?
4. Why does multiplying a fraction by its reciprocal result in 1?
5. What is the difference between a square root and a cube root?

**Tip:** When working with roots and powers, remember that square roots and cube roots are inverses of squaring and cubing, respectively.

Evaluate the expressions involving fractions, cube roots, and exponents as shown in the image.

Learn how to evaluate expressions involving fractions, cube roots, and exponents. This step-by-step solution simplifies complex fractions, calculates cube roots, and uses exponent rules. Suitable for students in Grades 6-8.

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