What is 16*(4/7)^{-2} ?

The solution to 16*(4/7)^{-2} is 49

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simplify 16*(4/7)^{-2}

simplify

16 \cdot (\frac{4}{7})^{- 2}

49

Solution steps

16 (\frac{4}{7})^{- 2}

Apply exponent rule:

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

(\frac{4}{7})^{- 2} = \frac{1}{( \frac{4}{7} ) ^{2}}

= 16 \cdot \frac{1}{( \frac{4}{7} ) ^{2}}

(\frac{4}{7})^{2} = \frac{16}{49}

= 16 \cdot \frac{1}{\frac{16}{49}}

Apply the fraction rule:

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

= 16 \cdot \frac{49}{16}

Convert element to fraction:

16 = \frac{16}{1}

= \frac{16}{1} \cdot \frac{49}{16}

Cross-cancel common factor:

16

= \frac{49}{1}

Divide the numbers:

\frac{49}{1} = 49

= 49

100 \times 100

\frac{- 3}{96}

2 x (2 x + 3)

(a + b - 1) (a + b + 1)

- \frac{3}{2} - \frac{3}{2}