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

When dividing powers with the same base, subtract the exponents: $$\frac{a^m}{a^n} = a^{m-n}$$ .

What happens when you raise a power to another power?

When raising a power to another power, multiply the exponents: $$(a^m)^n = a^{m \times n}$$ .

What is the value of 0 raised to any positive exponent?

0 raised to any positive exponent is 0. For example, $$0^3 = 0$$ .

What is the value of a negative number raised to an even exponent?

A negative number raised to an even exponent results in a positive value. For example, $$(-2)^2 = 4$$ .

What is the value of a negative number raised to an odd exponent?

A negative number raised to an odd exponent results in a negative value. For example, $$(-2)^3 = -8$$ .

What is the reciprocal of a number with a negative exponent?

The reciprocal of a number with a negative exponent is the number with a positive exponent. For example, $$\frac{1}{a^{-n}} = a^n$$ .

If a m = b m , what can we conclude about a and b?

If $$a^m = b^m$$ and m is a positive integer, then a = b or a = -b if m is even.

Negative Exponents Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

What is a negative exponent?

Back

Tags

CCSS.8.EE.A.1

2.

FLASHCARD QUESTION

Front

Rewrite using a positive exponent: w^-13

Back

Tags

CCSS.8.EE.A.1

3.

FLASHCARD QUESTION

Front

What is any non-zero number raised to the power of zero?

Back

Tags

CCSS.8.EE.A.1

4.

FLASHCARD QUESTION

Front

Rewrite as a positive exponent: 4^-2

Back

Tags

CCSS.8.EE.A.1

5.

FLASHCARD QUESTION

Front

Simplify: 3^-3

Back

Tags

CCSS.HSN.RN.A.2

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.1

7.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.8.EE.A.1

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