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Popular >

simplify 1/(sqrt(32))

Solution

simplify

\frac{1}{32}

Solution

\frac{1}{4 2}

+1

Decimal Notation

0.17677 \dots

Solution steps

\frac{1}{32}

Prime factorization of

32 : 2^{5}

= \frac{1}{2 ^{5}}

Apply exponent rule:

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

2^{5} = 2^{4} \cdot 2

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

Apply radical rule:

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

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

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

2^{4} = 4

= \frac{1}{4 2}

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Frequently Asked Questions (FAQ)

What is 1/(sqrt(32)) ?
The solution to 1/(sqrt(32)) is 1/(4sqrt(2))