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Popular >

simplify (4^{-3})/(4^{-1)}

Solution

simplify

\frac{4 ^{- 3}}{4 ^{- 1}}

Solution

\frac{1}{16}

+1

Decimal Notation

0.0625

Solution steps

\frac{4 ^{- 3}}{4 ^{- 1}}

Apply exponent rule:

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

= 4^{- 3 - (- 1)}

Apply rule

- (- a) = a

= 4^{- 3 + 1}

Add/Subtract the numbers:

- 3 + 1 = - 2

= 4^{- 2}

Apply exponent rule:

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

= \frac{1}{4 ^{2}}

4^{2} = 16

= \frac{1}{16}

Popular Examples

t (3 t + 1) = 2

simplify (7/5)^{-2}simplify

(\frac{7}{5})^{- 2}

- 4 x^{2} - 4 x - 1 = 0

6 X^{2} = X + 1

simplify 1/6+7/4 simplify

\frac{1}{6} + \frac{7}{4}

Frequently Asked Questions (FAQ)

What is (4^{-3})/(4^{-1)} ?
The solution to (4^{-3})/(4^{-1)} is 1/16