Question

Simplify each expression. $$ 8 m^{\frac{1}{3}}\left(m^{\frac{1}{3}}+2\right) $$

   Simplify each expression.
$$
8 m^{\frac{1}{3}}\left(m^{\frac{1}{3}}+2\right)
$$

Algebra 1 Common Core

Algebra 1 Common Core

Randall I.… 1st Edition

Chapter 7, Problem 44

Instant Answer

Solved by Expert Julie Silva

03/23/2020

Step 1

This gives us: $$ 8 m^{\frac{1}{3}} \cdot m^{\frac{1}{3}} + 8 m^{\frac{1}{3}} \cdot 2 $$ Show more…

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Simplify each expression. $$ 8 m^{\frac{1}{3}}\left(m^{\frac{1}{3}}+2\right) $$

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Key Concepts

Distributive Property

The distributive property is a fundamental algebraic principle that allows you to multiply a single term across terms inside parentheses. This property enables the expansion of expressions, such as multiplying 8m^(1/3) by each term inside the parentheses, ensuring that each product is correctly computed before further simplification is carried out.

Properties of Exponents

In algebra, exponent rules allow us to simplify expressions involving powers. When multiplying terms with the same base, such as m^(1/3) multiplied by m^(1/3), you add the exponents to obtain m^(2/3). This rule is crucial when working with rational exponents, as it transforms fractional exponents through simple arithmetic operations.

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