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Popular >

simplify 2^5*6^{-5}

Solution

simplify

2^{5} \cdot 6^{- 5}

Solution

\frac{1}{243}

+1

Decimal Notation

0.00411 \dots

Solution steps

2^{5} \cdot 6^{- 5}

2^{5} = 32

= 32 \cdot 6^{- 5}

Apply exponent rule:

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

6^{- 5} = \frac{1}{6 ^{5}}

= 32 \cdot \frac{1}{6 ^{5}}

6^{5} = 7776

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

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

= \frac{1}{243}

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Frequently Asked Questions (FAQ)

What is 2^5*6^{-5} ?
The solution to 2^5*6^{-5} is 1/243