Questions: Multiply (2 x^9)(-3 x^4)(5 x^3) (2 x^9)(-3 x^4)(5 x^3)= (Simplify your answer.)

Transcript text: Multiply \[ \left(2 x^{9}\right)\left(-3 x^{4}\right)\left(5 x^{3}\right) \] $\left(2 x^{9}\right)\left(-3 x^{4}\right)\left(5 x^{3}\right)=$ $\square$ (Simplify your answer.)

Solution

Solution Steps

To simplify the expression $(2x^9)(-3x^4)(5x^3)$, we need to multiply the coefficients and add the exponents of the like bases. The coefficients are 2, -3, and 5, and the exponents of $x$ are 9, 4, and 3.

Step 1: Multiply the Coefficients

We start by multiplying the coefficients of the expression: \[ 2 \times (-3) \times 5 = -30 \]

Step 2: Add the Exponents

Next, we add the exponents of $x$: \[ 9 + 4 + 3 = 16 \]

Step 3: Combine the Results

Now, we combine the results from the previous steps to form the simplified expression: \[ (2x^9)(-3x^4)(5x^3) = -30x^{16} \]