Product Rule of Exponents

Front

What is the Product Rule of Exponents?

Back

The Product Rule of Exponents states that when multiplying two expressions with the same base, you add their exponents. For example, a^m * a^n = a^(m+n).

Tags

CCSS.8.EE.A.1

Front

Simplify: (2a^2b^4z)(6a^3b^2z^5)

Back

12a^5b^6z^6

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CCSS.HSA.APR.A.1

Front

Simplify: 2x^3y^5 ⋅ 5xy^2

Back

10x^4y^7

Front

Simplify: r^6 ⋅ r^2 ⋅ r^3

Back

r^11

Tags

CCSS.8.EE.A.1

Front

Simplify: 3x^2 ⋅ x^2

Back

3x^4

Tags

CCSS.HSA.APR.A.1

Front

Identify the BASE in the expression: 2^3 = 8

Back

2

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CCSS.6.EE.A.1

Front

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

Back

You add the exponents.

Tags

CCSS.8.EE.A.1

Front

What is the result of 5^2 * 5^3?

Back

5^(2+3) = 5^5.

Tags

CCSS.8.EE.A.1

Front

If a^4 * a^2 = a^x, what is x?

Back

x = 6.

Tags

CCSS.8.EE.A.1

Front

What is the simplified form of (x^3)(x^5)?

Back

x^(3+5) = x^8.

Tags

CCSS.8.EE.A.1