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Popular >

simplify (2^9)(256^{-0.25})

Solution

simplify

(2^{9}) (25 6^{- 0.25})

Solution

128

Solution steps

(2^{9}) (25 6^{- 0.25})

(2^{9}) (25 6^{- 0.25}) = 2^{9} \cdot 25 6^{- 0.25}

= 2^{9} \cdot 25 6^{- 0.25}

2^{9} = 512

= 512 \cdot 25 6^{- 0.25}

Apply exponent rule:

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

25 6^{- 0.25} = \frac{1}{25 6 ^{0.25}}

= 512 \cdot \frac{1}{25 6 ^{0.25}}

512 \cdot \frac{1}{25 6 ^{0.25}} = 128

= 128

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Frequently Asked Questions (FAQ)

What is (2^9)(256^{-0.25}) ?
The solution to (2^9)(256^{-0.25}) is 128