Simplify the expression $$(2^5 \times 2^3)^2$$ .

$$(2^5 \times 2^3)^2 = (2^{5+3})^2 = 2^8^2 = 2^{16}$$ .

What is the value of $$2^{-3}$$ ?

$$2^{-3} = \frac{1}{2^3} = \frac{1}{8}$$ .

Simplify the expression $$3^4 \times 3^2$$ .

$$3^4 \times 3^2 = 3^{4+2} = 3^6$$ .

What is the value of $$(4^2)^3$$ ?

$$(4^2)^3 = 4^{2 \times 3} = 4^6$$ .

What is the property of exponents when raising a product to a power?

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

What is the value of $$(5^2 \times 2^3)^2$$ ?

$$ (5^2 \times 2^3)^2 = 5^{2 \times 2} \times 2^{3 \times 2} = 5^4 \times 2^6 $$ .

What is the value of $$(x^3)^2$$ ?

$$ (x^3)^2 = x^{3 \times 2} = x^6 $$ .

What is the value of $$(2^4 \times 3^2)^3$$ ?

$$ (2^4 \times 3^2)^3 = 2^{4 \times 3} \times 3^{2 \times 3} = 2^{12} \times 3^6 $$ .

Exponent Properties Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the property of exponents when multiplying powers of the same base?

Back

Tags

CCSS.8.EE.A.1

2.

FLASHCARD QUESTION

Front

What is the property of exponents when raising a power to a power?

Back

Tags

CCSS.8.EE.A.1

3.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.1

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.1

5.

FLASHCARD QUESTION

Front

What happens to the exponent when you raise a base to the power of zero?

Back

Tags

CCSS.8.EE.A.1

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.1

7.

FLASHCARD QUESTION

Front

What is the property of exponents when dividing powers of the same base?

Back

Tags

CCSS.8.EE.A.1

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