MWizard2k04

\(\sqrt[3]{\frac{27}{8}}^4 = {\frac{3}{2}}^4 \\ = \frac{81}{16}\)

\({\frac{27}{8}}^{\frac{4}{3}} = \sqrt[3]{\frac{27}{8}}^{4}\)  

Fifth or Sixth Grades and above:

If you are multiplying 11x by -3,

\(11x(-3) = 11(-3) \times x(-3) \\ = -33 \times -3x \\ = -33 \times -3 \times x \\ = 99 \times x \\ = 99x\) 

Distributive property of multiplication formula is

\(a(b + c) = ab + ac\)

k = √k

k = 0

k = 1

Because 0² = 0, √0 = 0.

Because 1² = 1, √1 = 1.

\(\frac{3}{5} - \frac{92}{517} \\ = \frac{1551}{2585} - \frac{460}{2585} \\ = \frac{1551-460}{2585} \\ = \frac{1091}{2585}. \\ This fraction is in simplified form, so this is the answer.\)   

\(15 \times x = 10 \times 9 \\ 15 \times x = 90 \\ 15 x = 90 | ÷ 15 \\ x = 6\) 

They use a comma for a decimal point.

To avoid confusion, for a thousand, no need for a separator, use a space to separate.

1 234 = 1 thousand 2 hundreds 3 tens 4 ones

1,234 or 1.234 = 1 one 2 tenths 3 hundredths 4 thousandths

I'll just change (b) to round off to whole number

\({\left ( {2n}^{3} \right )}^{4} = {\left ( 2 \times {n}^{3} \right )}^{4} = {\left ( 2 \times {n}^{3} \right )}^{4} = {2}^{4} \times {\left ( {n}^{3} \right )}^{4} = 16 \times {\left ( {n}^{3} \right )}^{4} = 16 {\left ( {n}^{3 \times 4} \right )} = 16 {\left ( {n}^{12} \right )} = 16 {n}^{12}\)  

c² = a² + b²

c² = 14² + 12²

    ^{= 196 + 144}

    ^{= 340}

^{c = √340}

   ^{= √4 * √85}

   ^{= 2√85}