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Popular >

simplify (28^{3/5})^{5/6}

Solution

simplify

(2 8^{\frac{3}{5}})^{\frac{5}{6}}

Solution

2 \cdot 7^{\frac{1}{2}}

+1

Decimal Notation

5.29150 \dots

Solution steps

(2 8^{\frac{3}{5}})^{\frac{5}{6}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 2 8^{\frac{3}{5} \cdot \frac{5}{6}}

\frac{3}{5} \cdot \frac{5}{6} = \frac{1}{2}

= 2 8^{\frac{1}{2}}

Prime factorization of

28 : 2^{2} \cdot 7

= (2^{2} \cdot 7)^{\frac{1}{2}}

Apply exponent rule:

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

(2^{2} \cdot 7)^{\frac{1}{2}} = (2^{2})^{\frac{1}{2}} \cdot 7^{\frac{1}{2}}

= (2^{2})^{\frac{1}{2}} \cdot 7^{\frac{1}{2}}

(2^{2})^{\frac{1}{2}} = 2

= 2 \cdot 7^{\frac{1}{2}}

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3 (x + 5) = 39

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6 x - x^{3} = ∣ 2 x ∣

1/(x+1)< 2/(3x-1)

\frac{1}{x + 1} < \frac{2}{3 x - 1}

Frequently Asked Questions (FAQ)

What is (28^{3/5})^{5/6} ?
The solution to (28^{3/5})^{5/6} is 2*7^{1/2}