What is the value of $$3^{-2}$$ ?

The value of $$3^{-2}$$ is $$\frac{1}{3^2} = \frac{1}{9}$$ .

How do you simplify $$2x^2 \times 4x^{-4}$$ ?

To simplify $$2x^2 \times 4x^{-4}$$ , multiply the coefficients and add the exponents: $$8x^{2-4} = \frac{8}{x^2}$$ .

What is the value of $$5^0$$ ?

The value of $$5^0$$ is 1, as any non-zero number raised to the power of zero equals one.

What is the definition of an exponent?

An exponent indicates how many times a number (the base) is multiplied by itself. For example, in $$a^n$$ , $$a$$ is the base and $$n$$ is the exponent.

What is the result of $$\frac{1}{x^{-3}}$$ ?

The result of $$\frac{1}{x^{-3}}$$ is $$x^3$$ .

How do you evaluate $$4^3$$ ?

To evaluate $$4^3$$ , calculate $$4 \times 4 \times 4 = 64$$ .

What is the rule for raising a power to another power?

When raising a power to another power, multiply the exponents. For example, $$(a^m)^n = a^{m \times n}$$ .

What is the simplified form of $$\frac{a^5}{a^2}$$ ?

The simplified form of $$\frac{a^5}{a^2}$$ is $$a^{5-2} = a^3$$ .

Mastering Exponents and Monomials Retest Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a negative exponent?

Back

2.

FLASHCARD QUESTION

Front

How do you convert a negative exponent to a positive exponent?

Back

3.

FLASHCARD QUESTION

Front

What is a monomial?

Back

A monomial is an algebraic expression that consists of a single term, which can be a number, a variable, or a product of numbers and variables raised to non-negative integer powers.

4.

FLASHCARD QUESTION

Front

How do you multiply monomials?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the rule for multiplying powers with the same base?

Back

7.

FLASHCARD QUESTION

Front

What is the rule for dividing powers with the same base?

Back

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