What is (((1.72*65))/(175.75))^{-7.69} ?

The solution to (((1.72*65))/(175.75))^{-7.69} is (175.75^{7.69})/(65^{7.69)*1.72^{7.69}}

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simplify (((1.72*65))/(175.75))^{-7.69}

simplify

(\frac{( 1.72 \cdot 65 )}{175.75})^{- 7.69}

\frac{175.7 5 ^{7.69}}{6 5 ^{7.69} \cdot 1.7 2 ^{7.69}}

Decimal Notation

32.41362 \dots

Solution steps

(\frac{1.72 \cdot 65}{175.75})^{- 7.69}

Apply exponent rule:

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

(\frac{1.72 \cdot 65}{175.75})^{- 7.69} = \frac{1}{( \frac{1.72 \cdot 65}{175.75} ) ^{7.69}}

= \frac{1}{( \frac{1.72 \cdot 65}{175.75} ) ^{7.69}}

(\frac{1.72 \cdot 65}{175.75})^{7.69} = \frac{1.7 2 ^{7.69} \cdot 6 5 ^{7.69}}{175.7 5 ^{7.69}}

= \frac{1}{\frac{1.7 2 ^{7.69} \cdot 6 5 ^{7.69}}{175.7 5 ^{7.69}}}

Apply the fraction rule:

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

= \frac{175.7 5 ^{7.69}}{6 5 ^{7.69} \cdot 1.7 2 ^{7.69}}

5 x + 6 = 2 x + 15

\frac{3}{4} + \frac{5}{4}

∣ 3 x - 9 ∣ < 6

1 + 343 n^{3}

65 (\frac{5}{7}) - 36

What is (((1.72*65))/(175.75))^{-7.69} ?
The solution to (((1.72*65))/(175.75))^{-7.69} is (175.75^{7.69})/(65^{7.69)*1.72^{7.69}}