An exponent is a mathematical notation indicating the number of times a number (the base) is multiplied by itself. For example, in $$2^3$$ , 2 is the base and 3 is the exponent, meaning $$2 * 2 * 2$$ .

What is the relationship between exponents and radicals?

Radicals can be expressed as exponents. For example, $$\text{√}x = x^{\frac{1}{2}}$$ and $$\text{∛}x = x^{\frac{1}{3}}$$ .

What is the definition of a square root?

A square root of a number x is a value that, when multiplied by itself, gives x. It is denoted as $$\text{√}x$$ .

What is the definition of a cube root?

A cube root of a number x is a value that, when multiplied by itself three times, gives x. It is denoted as $$\text{∛}x$$ .

What is the zero exponent rule?

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

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. For example, $$a^{-n} = \frac{1}{a^n}$$ .

Exponents & Radicals Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Define an exponent.

Back

2.

FLASHCARD QUESTION

Front

What is the product of powers property?

Back

3.

FLASHCARD QUESTION

Front

What is the power of a power property?

Back

4.

FLASHCARD QUESTION

Front

What is the power of a product property?

Back

5.

FLASHCARD QUESTION

Front

What is the quotient of powers property?

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What is a radical expression?

Back

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