What is ((19^9)^7\times 19^8)/(19^{86)} ?

The solution to ((19^9)^7\times 19^8)/(19^{86)} is 1/(19^{15)}

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simplify ((19^9)^7\times 19^8)/(19^{86)}

simplify

\frac{( 1 9 ^{9} ) ^{7} \cdot 1 9 ^{8}}{1 9 ^{86}}

\frac{1}{1 9 ^{15}}

Decimal Notation

6.58713 E - 20

Solution steps

\frac{( 1 9 ^{9} ) ^{7} \cdot 1 9 ^{8}}{1 9 ^{86}}

(1 9^{9})^{7} = 1 9^{63}

= \frac{1 9 ^{63} \cdot 1 9 ^{8}}{1 9 ^{86}}

\frac{1 9 ^{63}}{1 9 ^{86}} = \frac{1}{1 9 ^{23}}

= \frac{1 9 ^{8}}{1 9 ^{23}}

Apply exponent rule:

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

= \frac{1}{1 9 ^{23 - 8}}

Subtract the numbers:

23 - 8 = 15

= \frac{1}{1 9 ^{15}}

∣ x + 2 ∣ > ∣ x - 3 ∣ + 1

4 x^{2} - 4 x = - 21

∣ 3 x - 7 ∣ \geq 8

x^{2} + 5 > 0

12 x^{2} + 5 x - 3 > 0

What is ((19^9)^7\times 19^8)/(19^{86)} ?
The solution to ((19^9)^7\times 19^8)/(19^{86)} is 1/(19^{15)}