Multiplying Powers with the Same Base

Multiplying Powers with the Same Base

Assessment

Flashcard

Mathematics

9th Grade - Professional Development

Hard

CCSS
8.EE.A.1, HSA.APR.A.1, 6.EE.A.1

Standards-aligned

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the product of powers with the same base?

Back

When multiplying powers with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).

Tags

CCSS.8.EE.A.1

2.

FLASHCARD QUESTION

Front

How do you simplify the expression (2a^2b^4z)(6a^3b^2z^5)?

Back

You multiply the coefficients (2*6=12) and add the exponents for like bases: a^(2+3)=a^5, b^(4+2)=b^6, z^(1+5)=z^6. The simplified expression is 12a^5b^6z^6.

Tags

CCSS.HSA.APR.A.1

3.

FLASHCARD QUESTION

Front

What is the result of simplifying (8yz)(-8y^2z^3)?

Back

Multiply the coefficients (8*-8=-64) and add the exponents for like bases: y^(1+2)=y^3, z^(1+3)=z^4. The result is -64y^3z^4.

Tags

CCSS.HSA.APR.A.1

4.

FLASHCARD QUESTION

Front

How do you simplify the expression (-5b^3)(-3b^6)?

Back

Multiply the coefficients (-5*-3=15) and add the exponents for like bases: b^(3+6)=b^9. The simplified expression is 15b^9.

Tags

CCSS.8.EE.A.1

5.

FLASHCARD QUESTION

Front

What is the simplified form of x multiplied by itself six times?

Back

x * x * x * x * x * x = x^6.

Tags

CCSS.6.EE.A.1

6.

FLASHCARD QUESTION

Front

How do you rewrite the expression (2^4)(2^5) as a power?

Back

When multiplying powers with the same base, add the exponents: 2^(4+5) = 2^9.

Tags

CCSS.8.EE.A.1

7.

FLASHCARD QUESTION

Front

What is the rule for multiplying powers with different bases?

Back

When multiplying powers with different bases, you cannot combine the exponents. For example, a^m * b^n remains as is.

Tags

CCSS.8.EE.A.1

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