What is ((1.2)/3)^{-4}*4 ?

The solution to ((1.2)/3)^{-4}*4 is 156.25

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simplify ((1.2)/3)^{-4}*4

simplify

(\frac{1.2}{3})^{- 4} \cdot 4

156.25

Solution steps

(\frac{1.2}{3})^{- 4} \cdot 4

Apply exponent rule:

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

(\frac{1.2}{3})^{- 4} = \frac{1}{( \frac{1.2}{3} ) ^{4}}

= \frac{1}{( \frac{1.2}{3} ) ^{4}} \cdot 4

(\frac{1.2}{3})^{4} = \frac{2.0736}{81}

= \frac{1}{\frac{2.0736}{81}} \cdot 4

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{81}{2.0736} \cdot 4

Divide the numbers:

\frac{81}{2.0736} = 39.0625

= 39.0625 \cdot 4

Multiply the numbers:

39.0625 \cdot 4 = 156.25

= 156.25

4.1 \cdot 1 0^{- 7}

(3 x^{2} y^{5}) (2 x^{3} y^{4})

e^{- \frac{13}{5}}

8000 \cdot 1 0^{- 9} (9.8)