What is (sqrt(8c^3))/(sqrt(32c^7)) ?

The solution to (sqrt(8c^3))/(sqrt(32c^7)) is 1/(2c^2)

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simplify (sqrt(8c^3))/(sqrt(32c^7))

simplify

\frac{8 c ^{3}}{32 c ^{7}}

\frac{1}{2 c ^{2}}

Solution steps

\frac{8 c ^{3}}{32 c ^{7}}

Apply radical rule:

\frac{a}{b} = \frac{a}{b},

assuming

a \geq 0, b \geq 0

\frac{8 c ^{3}}{32 c ^{7}} = \frac{8 c ^{3}}{32 c ^{7}}

= \frac{8 c ^{3}}{32 c ^{7}}

Cancel

\frac{8 c ^{3}}{32 c ^{7}} : \frac{1}{4 c ^{4}}

= \frac{1}{4 c ^{4}}

Apply radical rule:

\frac{a}{b} = \frac{a}{b},

assuming

a \geq 0, b \geq 0

= \frac{1}{4 c ^{4}}

Apply radical rule:

1 = 1

1 = 1

= \frac{1}{4 c ^{4}}

Simplify

4 c^{4} : 2 c^{2}

= \frac{1}{2 c ^{2}}

x^{4} - 8 x^{3} + 26 x^{2} - 32 x + 13

∣ 10 - 4 x ∣ + 1 \geq 5

y^{2} + 7 y + 6

- 6 + 4 a = 54

∣ x + 2 ∣ + 3 = 6

What is (sqrt(8c^3))/(sqrt(32c^7)) ?
The solution to (sqrt(8c^3))/(sqrt(32c^7)) is 1/(2c^2)