Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each radical expression to the corresponding expression in rational exponent form.

Answer 1

The radical expressions and their corresponding expression in rational exponent form are

$972^\frac 15 = 3\sqrt[5]{4}$, $448^\frac 13 = 4\sqrt[3]{7}$, $3528^\frac 12 = 42 \sqrt 2$ and $4050^\frac 14 = 3\sqrt[4]{50}$

How to match the tiles?

We start by evaluating each expression as follows:

$972^\frac 15$

Expand 972

$972^\frac 15 = (243 * 3)^\frac 15$

Take the 5th root of 243

$972^\frac 15 = 3* (4)^\frac 15$

Rewrite as:

$972^\frac 15 = 3\sqrt[5]{4}$

Next, we have:

$448^\frac 13$

Expand 448

$448^\frac 13 = (64 * 7)^\frac 13$

Take the 3rd root of 64

$448^\frac 13 = 4 * (7)^\frac 13$

Rewrite as:

$448^\frac 13 = 4\sqrt[3]{7}$

Next, we have:

$3528^\frac 12$

Expand 3528

$3528^\frac 12 = (1764 * 2)^\frac 12$

Take the square root of 1764

$3528^\frac 12 = 42 * (2)^\frac 12$

Rewrite as:

$3528^\frac 12 = 42 \sqrt 2$

Lastly, we have:

$4050^\frac 14$

Expand 4050

$4050^\frac 14 = (81 * 50)^\frac 14$

Take the 4th root of 81

$4050^\frac 14 = 3 (50)^\frac 14$

Rewrite as:

$4050^\frac 14 = 3\sqrt[4]{50}$

Read more about radical expressions at:

https://brainly.com/question/8952483

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