Math Problem Statement

Bentuk akar yang sesuai dengan bentuk pangkat 5^3 = 125 adalah ...

Solution

The question in the image is:

"Bentuk akar yang sesuai dengan bentuk pangkat 53=1255^3 = 125 adalah ..."
(Translation: "The root form that corresponds to the exponent 53=1255^3 = 125 is ...")

Given this, the expression 53=1255^3 = 125 is an example of exponential form. To express this in root form, we need to think in terms of the cube root.

The cube root is the inverse of the cube (exponent of 3). So, 53=1255^3 = 125 can be rewritten as:

1253=5\sqrt[3]{125} = 5

Thus, the root form corresponding to 53=1255^3 = 125 is 1253=5\sqrt[3]{125} = 5.

Would you like further details or clarification?

Here are 5 related questions to expand on the concept:

  1. How do you find cube roots of other numbers, such as 88 or 2727?
  2. What is the general rule for converting exponential forms into root forms?
  3. Can you solve 643\sqrt[3]{64}? What is the cube root of 64?
  4. How do higher roots (e.g., fourth or fifth roots) compare with cube roots?
  5. What is the relationship between square roots and cube roots?

Tip: When working with cube roots, remember that they undo the operation of cubing a number, just like square roots undo squaring.

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Math Problem Analysis

Mathematical Concepts

Exponents
Roots
Cube Root

Formulas

a^3 = b <=> ∛b = a

Theorems

Properties of Exponents and Roots

Suitable Grade Level

Grades 8-10