Simplify:

Question

left parenthesis, 7, x, to the power 5 , right parenthesis, left parenthesis, 9, x, cubed, right parenthesis
(7x
5
)(9x
3
)

Answer 1

To simplify the expression \((7x^5)(9x^3)\), you can follow these steps:

1. Multiply the coefficients (numbers) together.
2. Use the property of exponents to multiply the \(x\) terms.

Step 1: Multiply the coefficients: \[ 7 \times 9 = 63 \]

Step 2: Multiply the \(x\) terms by adding the exponents: \[ x^5 \times x^3 = x^{5+3} = x^8 \]

Putting it all together: \[ (7x^5)(9x^3) = 63x^8 \]

Thus, the simplified expression is: \[ \boxed{63x^8} \]