Simplify the expression: $$\frac{3x^4}{6x^2}$$

$$\frac{3}{6} \times x^{4-2} = \frac{1}{2}x^2$$ .

What is the power of a product property in exponents?

When raising a product to a power, apply the exponent to each factor: $$(ab)^n = a^n b^n$$ .

Simplify the expression: $$\frac{(2x^2y)^3}{2^2}$$

$$\frac{2^3x^{2 \times 3}y^3}{2^2} = \frac{8x^6y^3}{4} = 2x^6y^3$$ .

What is the power of a quotient property in exponents?

When raising a quotient to a power, apply the exponent to both the numerator and denominator: $$\frac{a}{b}^n = \frac{a^n}{b^n}$$ .

Simplify the expression: $$\frac{(3x^2)^2}{(3x)^2}$$

$$\frac{3^2x^{2 \times 2}}{3^2x^2} = \frac{9x^4}{9x^2} = x^{4-2} = x^2$$ .

What is the definition of an exponential expression?

An expression in the form of $$a^n$$ , where 'a' is the base and 'n' is the exponent.

Simplify the expression: $$\frac{4x^3y^2}{2xy}$$

$$\frac{4}{2} \times \frac{x^{3-1}}{y^{1-1}} = 2x^2y$$ .

What is the definition of a base in an exponential expression?

The base is the number or variable that is raised to a power in an exponential expression, represented as $$a$$ in $$a^n$$ .

What is the definition of an exponent in an exponential expression?

The exponent indicates how many times the base is multiplied by itself, represented as $$n$$ in $$a^n$$ .

12/06 (Extended LSAE 12/06) Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the product of powers property in exponents?

Back

2.

FLASHCARD QUESTION

Front

What is the power of a power property in exponents?

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

What is the zero exponent rule?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the negative exponent rule?

Back

7.

FLASHCARD QUESTION

Front

Back

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