Laws of Exponents Product Rule

Presentation

•

Mathematics

•

6th - 11th Grade

•

Hard

James Gonzalez

FREE Resource

3 Slides • 5 Questions

Laws of exponents - Power of a Product Rule

by J. Gomez

Power of Product Shortcut?!!

Instead of repeating it three times you can just distribute the exponent to everything inside the group.

(x²y)⁵= x^2*5y^1*5= x¹⁰y⁵

Further Example

Now lets combine power of a product with power of a power
We know that if we have a power outside the parenthesis we distribute it to everything inside the parenthesis.
We also know that if we distribute a power to another power we multiply these powers.

Multiple Choice

Simplify the following expression:

(3y⁴)²

9y⁸

9y⁶

6y⁸

6y⁶

Multiple Choice

$\left(2xy\right)^5$

$2x^5y^5$

$2^5x^5y^5$

$2xy^5$

$2\left(x^5y^5\right)$

Multiple Choice

$\left(3^2ab^0\right)^4$

$3^6a^5b^4$

$3^8ab^0$

$3^8a^4$

$3^8a^4b^0$

Multiple Choice

Simplify the following expression:

(2x³y)⁶

2x¹⁸y⁶

64x¹⁸y⁶

64x³y⁶

2x³y⁶

Multiple Choice

Simplify the following expression:

(3x⁴y⁵)²

9x⁸y¹⁰

6x⁸y¹⁰

3x⁸y¹⁰

x⁸y¹⁰

Laws of exponents - Power of a Product Rule

by J. Gomez

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