Question

Simplify. $$\frac{28}{6} \cdot\left(\frac{3}{2}\right)^{2}$$

   Simplify.
$$\frac{28}{6} \cdot\left(\frac{3}{2}\right)^{2}$$

Prealgebra

Julie Miller, Molly… 1st Edition

Chapter 4, Problem 32

Instant Answer

Solved by Expert Amy Jiang

07/27/2020

Step 1

We have $\left(\frac{3}{2}\right)^{2}$, which means $\frac{3}{2}$ multiplied by itself. So, we get $\frac{9}{4}$. Show more…

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Simplify. $$\frac{28}{6} \cdot\left(\frac{3}{2}\right)^{2}$$

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Key Concepts

Order of Operations

This fundamental principle dictates the sequence in which operations should be performed in an expression. It ensures that exponentiation is carried out before multiplication, thereby providing consistency and correctness in simplifying mathematical expressions.

Simplification of Expressions

After performing operations like exponentiation and multiplication, simplifying the resulting expression by canceling common factors or reducing the fraction to its simplest form is important. This process helps achieve the most concise and clear expression.

Multiplication of Fractions

Multiplying fractions requires multiplying the numerators together and the denominators together. This operation is essential for combining fractional expressions in algebra.

Exponentiation of Fractions

This concept involves raising a fraction to a power. When a fraction is raised to an exponent, both the numerator and the denominator are raised to that exponent. This process is a key step when dealing with expressions that involve powers applied to fractional values.

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