An exponent is a number that indicates how many times to multiply the base by itself. For example, in $$a^n$$ , 'a' is the base and 'n' is the exponent.

A radical is an expression that includes a root, such as a square root or cube root. The symbol for a square root is $$\text{√}$$ .

How do you simplify a radical expression?

To simplify a radical expression, factor the number under the radical into perfect squares and simplify accordingly.

What is the relationship between exponents and radicals?

Radicals can be expressed as exponents. For example, $$\text{√}a = a^{1/2}$$ .

What is the zero exponent rule?

The zero exponent rule states that any non-zero base raised to the power of zero equals one: $$a^0 = 1$$ .

What is the negative exponent rule?

The negative exponent rule states that a negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: $$a^{-n} = \frac{1}{a^n}$$ .

What is the significance of simplifying expressions in algebra?

Simplifying expressions helps to make calculations easier and clearer, allowing for better understanding and solving of equations.

Exponents and Radicals Practice Flashcard Flashcards

Student preview

16 questions

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1.

FLASHCARD QUESTION

Front

Define an exponent.

Back

Tags

CCSS.6.EE.A.1

2.

FLASHCARD QUESTION

Front

What is the product of powers property?

Back

Tags

CCSS.8.EE.A.1

3.

FLASHCARD QUESTION

Front

What is the power of a power property?

Back

Tags

CCSS.8.EE.A.1

4.

FLASHCARD QUESTION

Front

What is the quotient of powers property?

Back

Tags

CCSS.8.EE.A.1

5.

FLASHCARD QUESTION

Front

What does it mean to simplify an expression with exponents?

Back

Simplifying an expression with exponents means to reduce it to its simplest form, using exponent rules to combine like terms.

Tags

CCSS.6.EE.A.1

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.1

7.

FLASHCARD QUESTION

Front

What is a radical?

Back

Tags

CCSS.8.NS.A.1

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