What is the value of $$4^{-2}$$ ?

$$\frac{1}{4^2} = \frac{1}{16}$$ .

How do you compare two numbers in scientific notation, such as $$5.7 \times 10^{10}$$ and $$4.17 \times 10^{10}$$ ?

Since both have the same exponent, compare the coefficients: $$5.7 > 4.17$$ .

What is the law of exponents for zero exponent?

Any non-zero number raised to the power of zero is 1: $$a^0 = 1$$ .

What is the result of $$(3 \times 10^2) \times (2 \times 10^3)$$ ?

$$6 \times 10^{2+3} = 6 \times 10^5$$ .

What is the result of $$(5 \times 10^4) \times (2 \times 10^{-2})$$ ?

$$10 \times 10^{4-2} = 10 \times 10^2 = 1,000$$ .

2.1 Laws of Exponents and Scientific Notation Practice Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the law of exponents for multiplying powers with the same base?

Back

2.

FLASHCARD QUESTION

Front

What is the law of exponents for dividing powers with the same base?

Back

3.

FLASHCARD QUESTION

Front

What is the law of exponents for raising a power to a power?

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What is scientific notation?

Back

A way to express numbers as a product of a number between 1 and 10 and a power of 10.

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