What is simplify 1/5 sqrt(160) ?

The solution to simplify 1/5 sqrt(160) is 4/5 sqrt(10)

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Simplify fifth root of 160

simplify

\frac{1}{5} 160

\frac{4}{5} 10

Decimal Notation

2.52982 \dots

Solution steps

\frac{1}{5} 160

Prime factorization of

160 : 2^{5} \cdot 5

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

Apply exponent rule:

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

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

= \frac{1}{5} 2^{4} \cdot 2 \cdot 5

Apply radical rule:

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

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

= \frac{1}{5} 2^{4} 2 \cdot 5

2^{4} = 4

= \frac{1}{5} \cdot 4 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= \frac{1}{5} \cdot 410

\frac{1}{5} \cdot 410 = \frac{4}{5} 10

= \frac{4}{5} 10

8 \frac{3}{8}

\frac{a}{( 8 a - 3 b )} - \frac{b}{( 3 b - 8 a )}

x, 1 0^{x} = 5

56

x, 4 9^{x} = 7

What is simplify 1/5 sqrt(160) ?
The solution to simplify 1/5 sqrt(160) is 4/5 sqrt(10)