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Popular >

simplify 3125^{3/5}

Solution

simplify

312 5^{\frac{3}{5}}

Solution

125

Solution steps

312 5^{\frac{3}{5}}

Factor the number:

3125 = 5^{5}

= (5^{5})^{\frac{3}{5}}

Apply exponent rule:

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

= 5^{5 \cdot \frac{3}{5}}

5 \cdot \frac{3}{5} = 3

= 5^{3}

5^{3} = 125

= 125

Popular Examples

simplify 2(1/2+3/2 i)^2-2(1/2+3/2 i)+5 simplify

2 (\frac{1}{2} + \frac{3}{2} i)^{2} - 2 (\frac{1}{2} + \frac{3}{2} i) + 5

z = 3 (11) + 5 (0)

0.1 a = 0.01 a

(2x+5)/3-(x+1)/9 =(5x+3)/4

\frac{2 x + 5}{3} - \frac{x + 1}{9} = \frac{5 x + 3}{4}

- ∣ 3 + 3 x ∣ - 7 \leq - 16

Frequently Asked Questions (FAQ)

What is 3125^{3/5} ?
The solution to 3125^{3/5} is 125