What is the significance of coefficients in multiplication of powers?

Coefficients are multiplied together while the variables are handled using exponent rules.

What is the Product of Powers when the bases are different?

You cannot combine them using the Product of Powers Rule; you must multiply them as is.

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Multiplying Exponent Rules Product Of Powers

Multiplying Exponent Rules - Product of Powers

Flashcard

•

Mathematics

•

7th - 10th Grade

•

Practice Problem

•

Hard

•

CCSS

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

Standards-aligned

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15 questions

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FLASHCARD QUESTION

Front

What is the Product of Powers Rule?

Back

When multiplying two powers with the same base, you add the exponents. For example, $a^m \times a^n = a^{m+n}$ .

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

Calculate: $3xyz \times 5x^3y^2z \times 4x^2y^2z^2$

Back

$60x^6y^5z^4$ .

Tags

CCSS.HSA.APR.A.1

FLASHCARD QUESTION

Front

What happens to the exponents when multiplying powers with the same base?

Back

You add the exponents.

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

Calculate: $-5y^5 \times -4x^4$

Back

$20x^4y^5$ .

Tags

CCSS.HSA.APR.A.1

FLASHCARD QUESTION

Front

Calculate: $(-10x^2y^3) \times (x^4y^2) \times (9y)$

Back

$-90x^6y^6$ .

Tags

CCSS.HSA.APR.A.1

FLASHCARD QUESTION

Front

Calculate: $-7x^2 \times 9x^2y^4$

Back

$-63x^4y^4$ .

Tags

CCSS.HSA.APR.A.1

FLASHCARD QUESTION

Front

Calculate: $(-6x^5y^3z) \times (x^4z)$

Back

$-6x^9y^3z^2$ .

Tags

CCSS.HSA.APR.A.1

FLASHCARD QUESTION

Front

What is the Zero Exponent Rule?

Back

Any non-zero base raised to the power of zero equals one. For example, $a^0 = 1$ .

Tags

CCSS.8.EE.A.1

FLASHCARD QUESTION

Front

What is the Negative Exponent Rule?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, $a^{-n} = \frac{1}{a^n}$ .

Tags

CCSS.8.EE.A.1

10.

FLASHCARD QUESTION

Front

Calculate: $x^3 \times x^2$

Back

$x^5$ .

Tags

CCSS.8.EE.A.1

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