Monomials & Properties of Exponents

Presentation

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Mathematics

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9th Grade

•

Practice Problem

•

Easy

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CCSS

4.NBT.B.5, 6.EE.A.1

Standards-aligned

Shayna Richter

Used 93+ times

FREE Resource

10 Slides • 6 Questions

Monomials & Properties of Exponents

Product of Powers

Add the exponents of like bases to find the product of powers.

Open Ended

Simplify 3²x 3⁵.

Type response here

Open Ended

Simplify 7⁸x 7⁴.

Type response here

Multiplying Exponents with Like Bases

STEP 1: Group terms with like bases.
STEP 2: Add the exponents of powers with like bases.

q³x r² x q⁶

STEP 1: q³x q⁶ x r²

STEP2: q^{(3 + 6)} x r² = q⁹r²

Open Ended

Simplify a²b⁶a⁴b⁹.

Type response here

Multiplying Like Bases with Coefficients

STEP 1: Group terms with like bases.
STEP 2: Multiply the coefficients of the like bases.
STEP 3: Add the exponents of the like bases.
(The base always stays the same.)

(6y³)(3y⁵)

STEP 1: (There are only two terms so they do not need grouped.)

STEP 2: (6 x 3) y^{(3 + 5)} = 18y⁸

Open Ended

Simplify (3mn²)(9m²n).

Type response here

Power of a Power

To find the power of a power, multiply the exponents.

Example

(k⁵)⁹ = k^{(5 x 9)} = k⁴⁵

Open Ended

(k³)⁴

Type response here

Power of a Product

To find the power of a product, find the power of each factor and multiply.

Example

-(2y)² = (-1)(2²)(y²) = -4y²

Open Ended

(6x⁴)²

Type response here

Monomials & Properties of Exponents

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