Answer :
To simplify the expression
$$9x \cdot (5x^2),$$
follow these steps:
1. Multiply the numerical coefficients:
$$9 \cdot 5 = 45.$$
2. Multiply the variable parts by adding the exponents. Note that $x$ is equivalent to $x^1$, so:
$$x^1 \cdot x^2 = x^{1+2} = x^3.$$
3. Combine the results:
$$45 \cdot x^3 = 45x^3.$$
Thus, the simplified expression is
$$45x^3.$$
The correct answer is D: $45x^3$.
$$9x \cdot (5x^2),$$
follow these steps:
1. Multiply the numerical coefficients:
$$9 \cdot 5 = 45.$$
2. Multiply the variable parts by adding the exponents. Note that $x$ is equivalent to $x^1$, so:
$$x^1 \cdot x^2 = x^{1+2} = x^3.$$
3. Combine the results:
$$45 \cdot x^3 = 45x^3.$$
Thus, the simplified expression is
$$45x^3.$$
The correct answer is D: $45x^3$.
