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Popular >

simplify 2^23^36^{-3}

Solution

simplify

2^{2} \cdot 3^{3} \cdot 6^{- 3}

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

2^{2} \cdot 3^{3} \cdot 6^{- 3}

2^{2} = 4

= 4 \cdot 3^{3} \cdot 6^{- 3}

3^{3} = 27

= 4 \cdot 27 \cdot 6^{- 3}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

= 4 \cdot 27 \cdot \frac{1}{6 ^{3}}

6^{3} = 216

= 4 \cdot 27 \cdot \frac{1}{216}

Multiply the numbers:

4 \cdot 27 = 108

= 108 \cdot \frac{1}{216}

= \frac{1}{216} \cdot 108

\frac{1}{216} \cdot 108 = \frac{1}{2}

= \frac{1}{2}

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Frequently Asked Questions (FAQ)

What is 2^2*3^3*6^{-3} ?
The solution to 2^2*3^3*6^{-3} is 1/2