MaxWong

143.3336

Use the calculator on this site! :D

$\log_4(64\times 16)\\ = \log_4\space 64 + \log_4\space 16\\ = 3 + 2\\=5$

$45^2+56^2\\ = 2025 + 3136\\ = 5161$

$72^2\\=5184\\\neq5161$

45²+56² does not equal to 72²

$-|a-b|+c\\ = -|-3-4|+(-5)\\ = -|-7|-5\\ = -7-5\\ =-12$

Length of each side of base = $+\sqrt{64}= 8$

Using Pyth. Thm., Slant height = $\sqrt{15^2-(\dfrac{8}{2})^2}=\sqrt{209}$

Using Pyth. Thm. again, Height = $\sqrt{(\sqrt{209})^2-(4)^2}=\sqrt{193}$

Volume = $\dfrac{1}{3}(8)^2(\sqrt{193})$

=$\dfrac{64\sqrt{193}}{3}\text{cm}^3$

You can work out big numbers using this website's calculator. However if you ask, I am willing to do it for you.

17 600 000 000 ÷ 285 000 = 61 754.3859649122 807018

Or......

$\dfrac{17600000000}{285000}\\=\dfrac{17600000}{285}\\ =\dfrac{3520000}{57}$

$-\dfrac{3}{2}+\dfrac{3}{-5}$

=$-\dfrac{15}{10}-\dfrac{6}{10}$

=$\dfrac{(-15-6)}{10}$

=$-\dfrac{21}{10}$

pi is irrational and have infinite decimal places, also cannot be represented by a fraction. That's good you have an estimation. But I have a better one.

3.1415926535897932384626433........

$10^{-4}\times 10^{-x}$

= $\dfrac{1}{10^4}\times \dfrac{1}{10^x}$

=$\dfrac{1}{10^4\times10^x}$

=$\dfrac{1}{10^{x+4}}$

Maths is with numbers and algebra is with variables.

Maths: 7+5 = 12

Algebra: 7a + 5a = (7+5)a = 12a