Questions: (5.0 g^2) · (9.0 g)=?

Transcript text: $\left(5.0 \mathrm{~g}^{2}\right) \cdot(9.0 \mathrm{~g})=?$

Solution

Solution Steps

To solve the given expression $(5.0 \, \text{g}^2) \cdot (9.0 \, \text{g})$, we need to multiply the coefficients and add the exponents of the like terms. Here, we multiply the numerical coefficients 5.0 and 9.0, and since we are multiplying terms with the same base (g), we add the exponents (2 and 1).

Step 1: Identify the Expression Components

The given expression is $(5.0 \, \text{g}^2) \cdot (9.0 \, \text{g})$. It consists of two parts: the coefficients $5.0$ and $9.0$, and the variable $g$ with exponents $2$ and $1$.

Step 2: Multiply the Coefficients

Multiply the numerical coefficients: \[ 5.0 \times 9.0 = 45.0 \]

Step 3: Add the Exponents

Since the base $g$ is the same, add the exponents: \[ 2 + 1 = 3 \]