Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

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:

brainly.com/question/8952483

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