What is 15sqrt(0.16c^{12)} ?

The solution to 15sqrt(0.16c^{12)} is 6c^6

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simplify 15sqrt(0.16c^{12)}

simplify

15 0.16 c^{12}

6 c^{6}

Solution steps

15 0.16 c^{12}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

0.16 c^{12} = 0.16 c^{12}

= 15 0.16 c^{12}

0.16 = \frac{2}{5}

= 15 \cdot \frac{2}{5} c^{12}

Apply radical rule:

assuming

a \geq 0

c^{12} = c^{\frac{12}{2}}

= 15 \cdot \frac{2}{5} c^{\frac{12}{2}}

Divide the numbers:

\frac{12}{2} = 6

= 15 \cdot \frac{2}{5} c^{6}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{15 \cdot 2 c ^{6}}{5}

Divide the numbers:

\frac{15}{5} = 3

= 3 \cdot 2 c^{6}

Multiply the numbers:

3 \cdot 2 = 6

= 6 c^{6}

\frac{\frac{n - 15}{9 n}}{\frac{15 - n}{3 n ^{5}}}

10 \cdot 9

\frac{1}{2} \frac{1}{2}

5 (\frac{x + 8}{5} - 8)