What is 3((5n)/(11))^{1.5} ?

The solution to 3((5n)/(11))^{1.5} is (3*5^{1.5}n^{1.5})/(11^{1.5)}

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simplify 3((5n)/(11))^{1.5}

simplify

3 (\frac{5 n}{11})^{1.5}

\frac{3 \cdot 5 ^{1.5} n ^{1.5}}{1 1 ^{1.5}}

Solution steps

3 (\frac{5 n}{11})^{1.5}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{5 n}{11})^{1.5} = \frac{( 5 n ) ^{1.5}}{1 1 ^{1.5}}

= 3 \cdot \frac{( 5 n ) ^{1.5}}{1 1 ^{1.5}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(5 n)^{1.5} = 5^{1.5} n^{1.5}

= 3 \cdot \frac{5 ^{1.5} n ^{1.5}}{1 1 ^{1.5}}

Apply the fraction rule:

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

= \frac{3 \cdot 5 ^{1.5} n ^{1.5}}{1 1 ^{1.5}}

3 x^{3} y^{2} z + 6 x^{2} y

248 - 3

- 3 + 1

- \frac{1}{2} \cdot 3

10 + 5 b < 25

What is 3((5n)/(11))^{1.5} ?
The solution to 3((5n)/(11))^{1.5} is (3*5^{1.5}n^{1.5})/(11^{1.5)}