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Popular >

simplify (1/6 \times 3/2)^5

Solution

simplify

(\frac{1}{6} \cdot \frac{3}{2})^{5}

Solution

\frac{1}{1024}

+1

Decimal Notation

0.0009765625

Solution steps

(\frac{1}{6} \cdot \frac{3}{2})^{5}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(\frac{1}{6} \cdot \frac{3}{2})^{5} = (\frac{1}{6})^{5} (\frac{3}{2})^{5}

= (\frac{1}{6})^{5} (\frac{3}{2})^{5}

(\frac{1}{6})^{5} = \frac{1}{7776}

= \frac{1}{7776} (\frac{3}{2})^{5}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{3}{2})^{5} = \frac{3 ^{5}}{2 ^{5}}

= \frac{1}{7776} \cdot \frac{3 ^{5}}{2 ^{5}}

3^{5} = 243

= \frac{1}{7776} \cdot \frac{243}{2 ^{5}}

2^{5} = 32

= \frac{1}{7776} \cdot \frac{243}{32}

\frac{1}{7776} \cdot \frac{243}{32} = \frac{1}{1024}

= \frac{1}{1024}

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Frequently Asked Questions (FAQ)

What is (1/6 \times 3/2)^5 ?
The solution to (1/6 \times 3/2)^5 is 1/1024