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Popular >

simplify (14^3)^{1/2}

Solution

simplify

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

Solution

14 \cdot 1 4^{\frac{1}{2}}

+1

Decimal Notation

52.38320 \dots

Solution steps

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

Apply exponent rule:

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

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

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

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

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

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

Apply exponent rule:

x^{a + b} = x^{a} x^{b}

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

Refine

= 14 \cdot 1 4^{\frac{1}{2}}

Popular Examples

4 w^{2} - 64 > 0

simplify (x^2)/x simplify

\frac{x ^{2}}{x}

-0.0299x^2+1.5188x+16.826=60

- 0.0299 x^{2} + 1.5188 x + 16.826 = 60

\frac{x ^{2}}{2} - x + 1 = 0

simplify (x^6)^{2/3}simplify

(x^{6})^{\frac{2}{3}}

Frequently Asked Questions (FAQ)

What is (14^3)^{1/2} ?
The solution to (14^3)^{1/2} is 14*14^{1/2}