simplify sqrt(5^3)

Solution

simplify

5^{3}

55

Solution steps

5^{3}

Apply exponent rule:

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

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

= 5^{2} \cdot 5

Apply radical rule:

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

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

= 5^{2} 5

Apply radical rule:

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

5^{2} = 5

= 55

(12)^{2}

(- 7 x^{2} - 4) + (- 7 x^{2} - 6 x - 2)

(4 x^{2} + 6 x - 5) - (- 7 x^{2} - 4 x - 2)

(11 + 5 i) (- 10 - 8 i)

\frac{4}{5} \div \frac{3}{10}