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Popular >

simplify sqrt(25^3)

Solution

simplify

2 5^{3}

Solution

125

Solution steps

2 5^{3}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

2 5^{2 + 1} = 2 5^{2} \cdot 25

= 2 5^{2} \cdot 25

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

2 5^{2} \cdot 25 = 2 5^{2} 25

= 2 5^{2} 25

Apply radical rule:

a^{2} = a, a \geq 0

2 5^{2} = 25

= 2525

Prime factorization of

25 : 5^{2}

= 25 5^{2}

Apply radical rule:

a^{2} = a, a \geq 0

5^{2} = 5

= 25 \cdot 5

Multiply the numbers:

25 \cdot 5 = 125

= 125

Popular Examples

x/5-1/2 <= x/2+2

\frac{x}{5} - \frac{1}{2} \leq \frac{x}{2} + 2

16 t^{2} - 64 t - 64 = 0

8 = - 4 + x

2 (3 y + 1) \leq - 10

2000=-0.1x^2+30x

2000 = - 0.1 x^{2} + 30 x

Frequently Asked Questions (FAQ)

What is sqrt(25^3) ?
The solution to sqrt(25^3) is 125