https://file.aiquickdraw.com/mathbot/file/1726591465618ijzmwnwi.jpg

https://file.aiquickdraw.com/mathbot/file/1726591597778da1d7sr1.jpg

Let's address both questions from the images you've provided.

### Question 1: Solve \( \sqrt[3]{-64} \)
The cube root of a number is the value that, when cubed, gives the original number. In this case, we are dealing with a negative number, and the cube root of a negative number is also negative.

The cube root of \( -64 \) is calculated as:
\[
\sqrt[3]{-64} = -4
\]
because \( (-4) \times (-4) \times (-4) = -64 \).

So the answer is:
\[
\boxed{-4}
\]

### Question 2: Write \( \frac{3}{4}x \) as a radical expression
We need to express \( x^{\frac{3}{4}} \) in radical form. The general form of converting exponents to radicals is:
\[
x^{\frac{m}{n}} = \sqrt[n]{x^m}
\]
In this case, \( x^{\frac{3}{4}} \) becomes:
\[
x^{\frac{3}{4}} = \sqrt[4]{x^3}
\]
Thus, the radical form of \( x^{\frac{3}{4}} \) is:
\[
\boxed{\sqrt[4]{x^3}}
\]

Would you like any further explanation on either of these problems?

Here are 5 related questions:
1. How do you compute higher-order roots, such as \( \sqrt[5]{-32} \)?
2. How do you simplify expressions involving cube roots?
3. Can a cube root of a negative number ever result in a positive value?
4. How do you convert a square root into an exponent?
5. How do fractional exponents behave when multiplied?

**Tip:** When dealing with fractional exponents, remember that the numerator represents the power, and the denominator represents the root.

Solve cube root of -64 and write x^(3/4) as a radical expression

Learn how to solve the cube root of -64 and convert x^(3/4) to a radical expression. This problem covers cube roots and fractional exponents, suitable for Grades 9-11.

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