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Popular >

simplify (4^3)^{1/2}

Solution

simplify

(4^{3})^{\frac{1}{2}}

Solution

8

Solution steps

(4^{3})^{\frac{1}{2}}

Apply exponent rule:

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

= 4^{3 \cdot \frac{1}{2}}

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

= 4^{\frac{3}{2}}

Factor the number:

4 = 2^{2}

= (2^{2})^{\frac{3}{2}}

Apply exponent rule:

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

= 2^{2 \cdot \frac{3}{2}}

2 \cdot \frac{3}{2} = 3

= 2^{3}

2^{3} = 8

= 8

Popular Examples

simplify 7.4*((1.48+1.13)/6)simplify

7.4 \cdot (\frac{1.48 + 1.13}{6})

t (t - 1) = 0

7 + a < 11

simplify (4/5)^{-3}simplify

(\frac{4}{5})^{- 3}

2x-5/3 <= 3x+1/3 <= 4x-7/3

2 x - \frac{5}{3} \leq 3 x + \frac{1}{3} \leq 4 x - \frac{7}{3}

Frequently Asked Questions (FAQ)

What is (4^3)^{1/2} ?
The solution to (4^3)^{1/2} is 8