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Popular >

simplify 1/3 sqrt(128)

Solution

simplify

\frac{1}{3} 128

Solution

\frac{8}{3} 2

+1

Decimal Notation

3.77123 \dots

Solution steps

\frac{1}{3} 128

Prime factorization of

128 : 2^{7}

= \frac{1}{3} 2^{7}

Apply exponent rule:

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

2^{7} = 2^{6} \cdot 2

= \frac{1}{3} 2^{6} \cdot 2

Apply radical rule:

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

2^{6} \cdot 2 = 2^{6} 2

= \frac{1}{3} 2^{6} 2

2^{6} = 8

= \frac{1}{3} \cdot 82

\frac{1}{3} \cdot 82 = \frac{8}{3} 2

= \frac{8}{3} 2

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Frequently Asked Questions (FAQ)

What is 1/3 sqrt(128) ?
The solution to 1/3 sqrt(128) is 8/3 sqrt(2)