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Popular >

simplify sqrt(4^3)

Solution

simplify

4^{3}

Solution

8

Solution steps

4^{3}

Apply exponent rule:

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

4^{2 + 1} = 4^{2} \cdot 4

= 4^{2} \cdot 4

Apply radical rule:

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

4^{2} \cdot 4 = 4^{2} 4

= 4^{2} 4

Apply radical rule:

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

4^{2} = 4

= 44

Prime factorization of

4 : 2^{2}

= 4 2^{2}

Apply radical rule:

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

2^{2} = 2

= 4 \cdot 2

Multiply the numbers:

4 \cdot 2 = 8

= 8

Popular Examples

x^{2} + 9 x = - 18

factor x^4-5x^3+4x^2+2x-8 factor

x^{4} - 5 x^{3} + 4 x^{2} + 2 x - 8

simplify (5+4i)/(7i)simplify

\frac{5 + 4 i}{7 i}

2 x^{2} - 6 x + 5 = 0

3 x^{2} = 507

Frequently Asked Questions (FAQ)

What is sqrt(4^3) ?
The solution to sqrt(4^3) is 8