What is \det(8)(4^{-2}*2^{-3}) ?

The solution to \det(8)(4^{-2}*2^{-3}) is 1/128 \det(8)

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simplify \det(8)(4^{-2}*2^{-3})

simplify

det (8) (4^{- 2} \cdot 2^{- 3})

\frac{1}{128} det (8)

Solution steps

det (8) (4^{- 2} \cdot 2^{- 3})

Apply exponent rule:

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

= 2^{- 3} \cdot \frac{1}{4 ^{2}} det (8)

Apply exponent rule:

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

= \frac{1}{4 ^{2}} \cdot \frac{1}{2 ^{3}} det (8)

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 1}{2 ^{3} \cdot 4 ^{2}} det (8)

\frac{1 \cdot 1}{4 ^{2} \cdot 2 ^{3}} = \frac{1}{128}

= \frac{1}{128} det (8)

2 \cdot (4.352 \cdot 1 0^{- 15})

54 (1.2)^{- 5}

1867.56397 \cdot 2 \cdot 1 0^{- 6}

What is \det(8)(4^{-2}*2^{-3}) ?
The solution to \det(8)(4^{-2}*2^{-3}) is 1/128 \det(8)