Question

(2 1/3a^4b^8)^3*(-1 2/7a^5b^12)​

Answer 1

Ответ во вложении

Пошаговое объяснение:

1. Умножаем числа

2. Вычисляем и сокращаем дробь

3. Вычисляем произведение

Answer 2

To simplify the expression $(2\frac{1}{3}a^4b^8)^3 \cdot (-1\frac{2}{7}a^5b^12)$, you can follow these steps:

Step 1: Simplify the exponents inside the parentheses.

Inside the first set of parentheses: $2\frac{1}{3} = \frac{7}{3}$

Inside the second set of parentheses: $-1\frac{2}{7} = -\frac{9}{7}$

So, the expression becomes: $\left(\frac{7}{3}a^4b^8\right)^3 \cdot \left(-\frac{9}{7}a^5b^{12}\right)$

Step 2: Apply the power rule for exponents, which states that when you raise an exponent to another exponent, you multiply the exponents.

Inside the first set of parentheses: $\left(\frac{7}{3}a^4b^8\right)^3 = \left(\frac{7^3}{3^3}a^{4\times 3}b^{8\times 3}\right) = \frac{343}{27}a^{12}b^{24}$

Inside the second set of parentheses: $-\frac{9}{7}a^5b^{12}$

Step 3: Multiply the two simplified expressions together:

$\frac{343}{27}a^{12}b^{24} \cdot (-\frac{9}{7}a^5b^{12})$

Step 4: Multiply the fractions:

$\frac{343 \cdot (-9)}{27 \cdot 7}a^{12+5}b^{24+12}$

Step 5: Simplify the fraction:

$\frac{-3087}{189}a^{17}b^{36}$

So, the simplified expression is $\frac{-3087}{189}a^{17}b^{36}$.