Question

#8 find the area of this shape
6x²
3x⁸
area of a rectangle = l x w
so multiply the length and width
type answer below

Explanation:

Step1: Recall rectangle area formula

The area of a rectangle is given by \( A = \text{length} \times \text{width} \). Here, length is \( 6x^2 \) and width is \( 3x^8 \).

Step2: Multiply the terms

Using the rule of exponents \( a^m \times a^n = a^{m + n} \) and multiplying the coefficients: \( 6 \times 3 = 18 \), and \( x^2 \times x^8 = x^{2 + 8} = x^{10} \). So the area is \( 18x^{10} \).

Answer:

\( 18x^{10} \)