Question

(-2,5m^7n^2)^3 (-0,1p^4q^5)^2

Answer 1

Объяснение:

При возведении степени в степень знаки степеней перемножаются.

(-2,5m⁷n²)³=-15,625m²¹n⁶

(-0,1p⁴q⁵)²=0,01p⁸q¹⁰

Answer 2

To simplify the expression (-2,5m^7n^2)^3 (-0,1p^4q^5)^2, you can raise each term inside the parentheses to the respective exponents and then multiply the results together.

Let's break it down step by step:

1. Simplify (-2,5m^7n^2)^3: (-2,5)^3 = -15.625 (cube the number). (m^7)^3 = m^(73) = m^21 (multiply the exponents). (n^2)^3 = n^(23) = n^6 (multiply the exponents).

   So, (-2,5m^7n^2)^3 = -15.625m^21n^6.

2. Simplify (-0,1p^4q^5)^2: (-0,1)^2 = 0.01 (square the number). (p^4)^2 = p^(42) = p^8 (multiply the exponents). (q^5)^2 = q^(52) = q^10 (multiply the exponents).

   So, (-0,1p^4q^5)^2 = 0.01p^8q^10.

Now, multiply the simplified expressions together:

(-15.625m^21n^6) * (0.01p^8q^10)

Multiply the numerical coefficients:

-15.625 * 0.01 = -0.15625

Multiply the variables with the same base by adding their exponents:

m^21 * p^8 = m^21p^8 n^6 * q^10 = n^6q^10

So, the simplified expression is:

-0.15625m^21p^8n^6q^10