What is the result of simplifying $$(2x^4y^5)(-3x^2y^7)$$ ?

The result is $$-6x^6y^{12}$$ .

What does the Zero Exponent rule state?

Any non-zero number raised to the power of zero equals one. For example, $$x^0 = 1$$ .

What is the definition of a negative exponent?

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, $$x^{-n} = \frac{1}{x^n}$$ .

How do you simplify $$\frac{x^5}{x^2}$$ ?

Using the Quotient of Powers rule, the result is $$x^{5-2} = x^3$$ .

What is the result of $$2^3 \times 2^2$$ ?

Using the Product of Powers rule, the result is $$2^{3+2} = 2^5 = 32$$ .

What is the result of $$(x^3)^4$$ ?

Using the Power to a Power rule, the result is $$x^{3*4} = x^{12}$$ .

What is the definition of a base in exponents?

The base is the number that is being multiplied by itself as indicated by the exponent.

What is the result of simplifying $$\frac{3^4}{3^2}$$ ?

Using the Quotient of Powers rule, the result is $$3^{4-2} = 3^2 = 9$$ .

Rules of Exponents Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of an exponent?

Back

An exponent is a number that indicates how many times to multiply the base by itself.

2.

FLASHCARD QUESTION

Front

What does the Power to a Power rule state?

Back

3.

FLASHCARD QUESTION

Front

Back

@@ ext{The radical expression is } \\ \\sqrt[7]{4^2}.

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the definition of the Product of Powers rule?

Back

7.

FLASHCARD QUESTION

Front

What is the definition of the Quotient of Powers rule?

Back

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