What is ((((-5)/6)^3)^5)^7 ?

The solution to ((((-5)/6)^3)^5)^7 is -(5^{105})/(6^{105)}

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simplify ((((-5)/6)^3)^5)^7

simplify

((\frac{- 5}{6})^{3})^{5}^{7}

- \frac{5 ^{105}}{6 ^{105}}

Decimal Notation

- 4.85254 E - 9

Solution steps

((\frac{- 5}{6})^{3})^{5}^{7}

((\frac{- 5}{6})^{3})^{5} : (\frac{- 5}{6})^{15}

= ((\frac{- 5}{6})^{15})^{7}

(\frac{- 5}{6})^{15} = - \frac{5 ^{15}}{6 ^{15}}

= (- \frac{5 ^{15}}{6 ^{15}})^{7}

Apply exponent rule:

(- a)^{n} = - a^{n},

n

is odd

(- \frac{5 ^{15}}{6 ^{15}})^{7} = - (\frac{5 ^{15}}{6 ^{15}})^{7}

= - (\frac{5 ^{15}}{6 ^{15}})^{7}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{5 ^{15}}{6 ^{15}})^{7} = \frac{( 5 ^{15} ) ^{7}}{( 6 ^{15} ) ^{7}}

= - \frac{( 5 ^{15} ) ^{7}}{( 6 ^{15} ) ^{7}}

(6^{15})^{7} : 6^{105}

= - \frac{( 5 ^{15} ) ^{7}}{6 ^{105}}

(5^{15})^{7} : 5^{105}

= - \frac{5 ^{105}}{6 ^{105}}

x^{2} \circ x^{3}

\frac{β}{α} x^{β - 1} e^{- \frac{x ^{β}}{α}}

1.67 \cdot 1 0^{- 27} \cdot (3 \cdot 1 0^{8})^{2}

(7 x^{3}) \cdot (3 x^{2} y)

What is ((((-5)/6)^3)^5)^7 ?
The solution to ((((-5)/6)^3)^5)^7 is -(5^{105})/(6^{105)}