Simplify the expression $$\frac{{\text{√}(x^2y^5)}}{{1}}$$ .

The simplified form is $$xy^2\text{√}(y)$$ .

How do you simplify a square root of a product?

To simplify a square root of a product, use the property: $$\text{√}(ab) = \text{√}(a) \times \text{√}(b)$$ .

What is the simplified form of $$\text{√}(x^2)$$ ?

The simplified form of $$\text{√}(x^2)$$ is |x|.

What is the value of $$\text{√}(16)$$ ?

The value of $$\text{√}(16)$$ is 4.

What is the value of $$\text{√}(x^2y^4)$$ ?

The value of $$\text{√}(x^2y^4)$$ is |x|y^2.

What is the property of exponents for $$x^{m} \times x^{n}$$ ?

The property states that $$x^{m} \times x^{n} = x^{m+n}$$ .

What is the property of exponents for $$\frac{x^{m}}{x^{n}}$$ ?

The property states that $$\frac{x^{m}}{x^{n}} = x^{m-n}$$ .

What is the value of $$\text{√}(25)$$ ?

The value of $$\text{√}(25)$$ is 5.

What is the definition of simplifying an expression?

Simplifying an expression means to reduce it to its simplest form without changing its value.

Unit 4 Review Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the cube root of 8?

Back

The cube root of 8 is 2, since 2 x 2 x 2 = 8.

2.

FLASHCARD QUESTION

Front

What is the cube root of 216?

Back

The cube root of 216 is 6, since 6 x 6 x 6 = 216.

3.

FLASHCARD QUESTION

Front

What is the value of the expression

?

Back

The value of the expression

is undefined.

4.

FLASHCARD QUESTION

Front

Simplify the expression √48.

Back

The simplified form of √48 is 4√3.

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the definition of a cube root?

Back

A cube root of a number x is a number y such that y^3 = x.

7.

FLASHCARD QUESTION

Front

What is the definition of a square root?

Back

A square root of a number x is a number y such that y^2 = x.

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