Question

18x^7*x^13:(3x^10)^2=

Answer 1

$18x^7*x^{13}:(3x^{10})^2=18x^7*x^{13}:(3^2x^{20})= \frac{18x^{7+13}}{9x^{20}} = 2*\frac{9x^{20}}{9x^{20}}=2$

Answer 2

To simplify the expression, we can follow these steps:

1. Apply the power rule of exponents: (a^m)^n = a^(m*n).
2. Simplify the numerator.
3. Simplify the denominator.
4. Divide the numerator by the denominator.

Let's apply these steps to the given expression:

18x^7 * x^13 : (3x^10)^2

Step 1: Apply the power rule of exponents to the denominator: (3x^10)^2 = 3^2 * (x^10)^2 = 9 * x^(10*2) = 9x^20

Step 2: Simplify the numerator: 18x^7 * x^13 = 18 * x^(7+13) = 18x^20

Step 3: Divide the numerator by the denominator: 18x^20 : 9x^20 = 18/9 * (x^20 / x^20) = 2 * 1 = 2

Therefore, the simplified expression is 2.