Properties of Exponents Flashcards: 14 Cards (10th Grade)

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14 questions

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1.

FLASHCARD QUESTION

Front

What is the product of $x^a \cdot x^b$ ?

Back

$x^{a+b}$

2.

FLASHCARD QUESTION

Front

Simplify the expression: $3^2 \cdot 3^4$

Back

$3^6$

3.

FLASHCARD QUESTION

Front

What is the power of a power rule?

Back

When raising a power to another power, multiply the exponents: $(x^a)^b = x^{a \cdot b}$ .

4.

FLASHCARD QUESTION

Front

Simplify the expression: $(k^2)^5$

Back

$k^{10}$ .

5.

FLASHCARD QUESTION

Front

What is the simplified form of $5^{-2}$ ?

Back

$\frac{1}{25}$ .

6.

FLASHCARD QUESTION

Front

What is the product of $3x + 2$ and $2x + 4$ ?

Back

$6x^2 + 16x + 8$ .

7.

FLASHCARD QUESTION

Front

What is the quotient rule for exponents?

Back

When dividing like bases, subtract the exponents: $\frac{x^a}{x^b} = x^{a-b}$ .

8.

FLASHCARD QUESTION

Front

Simplify the expression: $x^3 \cdot x^{-5}$

Back

$x^{-2}$ .

9.

FLASHCARD QUESTION

Front

What is the value of $a^0$ for any non-zero number a?

Back

1.

10.

FLASHCARD QUESTION

Front

What is the simplified form of $(2^3)^2$ ?

Back

$2^6$ .

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