An exponent is a number that shows how many times a base is multiplied by itself. For example, in $$2^3$$ , 2 is the base and 3 is the exponent, meaning $$2 \times 2 \times 2$$ .

What does $$x^{-n}$$ represent?

The expression $$x^{-n}$$ represents the reciprocal of $$x^n$$ . It can be rewritten as $$\frac{1}{x^n}$$ .

How do you convert $$\frac{1}{b^{-3}}$$ to a positive exponent?

$$\frac{1}{b^{-3}}$$ can be converted to a positive exponent as $$b^3$$ .

What does $$a^0$$ equal?

Any non-zero number raised to the power of 0 equals 1. So, $$a^0 = 1$$ .

What is the expression for $$\left(\frac{1}{2}\right)\left(\frac{1}{2}\right)\left(\frac{1}{2}\right)?$$

The expression can be written as $$\left(\frac{1}{2}\right)^3$$ .

How do you express $$x^3 \times x^2$$ using exponents?

You can express it as $$x^{3+2} = x^5$$ .

What is the expression for $$\frac{1}{x^{-3}}$$ ?

The expression can be rewritten as $$x^3$$ .

What does $$\left(\frac{1}{3}\right)^{-2}$$ equal?

$$\left(\frac{1}{3}\right)^{-2} = 3^2 = 9$$ .

What is the expression for $$3^2 \times 3^4$$ ?

The expression can be simplified to $$3^{2+4} = 3^6$$ .

Mastering Exponents and Monomials Flashcard Flashcards

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1.

FLASHCARD QUESTION

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What is an exponent?

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2.

FLASHCARD QUESTION

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3.

FLASHCARD QUESTION

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4.

FLASHCARD QUESTION

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5.

FLASHCARD QUESTION

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What is the expression for multiplying the same number three times, like 5x5x5?

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6.

FLASHCARD QUESTION

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

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7.

FLASHCARD QUESTION

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

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