Question

(-2/3)^10 * (9/16)^10 * (-2целых,2/3)^10

Answer 1

Ответ:

1

Объяснение:

(-2/3)^10 * (9/16)^10 * (-2целых,2/3)^10=(2/3*9/16)^10(8/3)^10=

=(2/3*9/19*8/3)^10=(2/1*3/2*1/3)^10=1^10=1

Answer 2

Тупое задание. Надеюсь правильно

Answer 3

To simplify the expression $(-2/3)^{10} \cdot (9/16)^{10} \cdot (-2\frac{2}{3})^{10}$, you can calculate each part separately and then multiply the results together.

1. $(-2/3)^{10}$:

$(-2/3)^{10} = (-2/3) \cdot (-2/3) \cdot (-2/3) \cdot (-2/3) \cdot (-2/3) \cdot (-2/3) \cdot (-2/3) \cdot (-2/3) \cdot (-2/3) \cdot (-2/3)$

When you multiply these fractions together, the negative signs will cancel out, and you're left with:

$\left(\frac{2}{3}\right)^{10}$

2. $(9/16)^{10}$:

$(9/16)^{10} = \left(\frac{9}{16}\right)^{10}$

3. $(-2\frac{2}{3})^{10}$:

First, convert the mixed number to an improper fraction:

$-2\frac{2}{3} = -\left(2 + \frac{2}{3}\right) = -\left(\frac{6}{3} + \frac{2}{3}\right) = -\frac{8}{3}$

Now, $(-2\frac{2}{3})^{10} = \left(-\frac{8}{3}\right)^{10}$

Now that you have simplified each part separately, you can multiply them together:

$\left(\frac{2}{3}\right)^{10} \cdot \left(\frac{9}{16}\right)^{10} \cdot \left(-\frac{8}{3}\right)^{10}$

You can then multiply the fractions and apply the exponent to each part:

$\left(\frac{2^{10}}{3^{10}}\right) \cdot \left(\frac{9^{10}}{16^{10}}\right) \cdot \left(-\frac{8^{10}}{3^{10}}\right)$

Now, calculate each part separately:

$\frac{2^{10}}{3^{10}} = \frac{1024}{59049}$

$\frac{9^{10}}{16^{10}} = \frac{3486784401}{1099511627776}$

$-\frac{8^{10}}{3^{10}} = -\frac{1073741824}{59049}$

Now, multiply these fractions together:

$\frac{1024}{59049} \cdot \frac{3486784401}{1099511627776} \cdot \left(-\frac{1073741824}{59049}\right)$

When you multiply these fractions together, you will get the final result, which is a very small decimal number:

$-\frac{562949953421312}{4052732476424641}$