What is ((3^{500})/(9^{250)})^{7000} ?

The solution to ((3^{500})/(9^{250)})^{7000} is 1

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simplify ((3^{500})/(9^{250)})^{7000}

simplify

(\frac{3 ^{500}}{9 ^{250}})^{7000}

1

Solution steps

(\frac{3 ^{500}}{9 ^{250}})^{7000}

Apply exponent rule:

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

= \frac{( 3 ^{500} ) ^{7000}}{( 9 ^{250} ) ^{7000}}

(3^{500})^{7000} = 3^{3500000}

= \frac{3 ^{3500000}}{( 9 ^{250} ) ^{7000}}

(9^{250})^{7000} = 9^{1750000}

= \frac{3 ^{3500000}}{9 ^{1750000}}

Factor

9^{1750000} : 3^{3500000}

= \frac{3 ^{3500000}}{3 ^{3500000}}

Apply the fraction rule:

\frac{a}{a} = 1

= 1

(- 4 - x^{2})^{2}

6 x^{2} - 9 x - 27

3 \cdot (- 15)

(2 x + 5) (2 x + 9)

What is ((3^{500})/(9^{250)})^{7000} ?
The solution to ((3^{500})/(9^{250)})^{7000} is 1