Question

2/7p^-6q^4*21/32p^8q^-9

Answer 1

Объяснение:

Сверху.............................................

Answer 2

To simplify the expression (2/7p^-6q^4)*(21/32p^8q^-9), we can combine the numerical coefficients, multiply the variables with the same base (p and q), and simplify the exponents.

Let's break down the expression step by step:

(2/7p^-6q^4) * (21/32p^8q^-9)

Step 1: Combine the numerical coefficients:

(2 * 21) / (7 * 32) = 42 / 224 = 3 / 16

The expression becomes: (3/16p^-6q^4) * (p^8q^-9)

Step 2: Multiply the variables with the same base (p and q):

p^-6 * p^8 = p^(-6+8) = p^2

q^4 * q^-9 = q^(4+(-9)) = q^-5 = 1/q^5

The expression becomes: (3/16p^2)(1/q^5)

Step 3: Simplify the expression:

(3/16p^2)(1/q^5) = 3/(16p^2q^5)

Therefore, the simplified form of the expression (2/7p^-6q^4)*(21/32p^8q^-9) is 3/(16p^2q^5).