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Popular >

simplify (93^4)/((3^4)^527^2)

Solution

simplify

\frac{9 \cdot 3 ^{4}}{( 3 ^{4} ) ^{5} \cdot 2 7 ^{2}}

Solution

\frac{1}{3 ^{20}}

+1

Decimal Notation

2.86797 E - 10

Solution steps

\frac{9 \cdot 3 ^{4}}{( 3 ^{4} ) ^{5} \cdot 2 7 ^{2}}

(3^{4})^{5} = 3^{20}

= \frac{9 \cdot 3 ^{4}}{3 ^{20} \cdot 2 7 ^{2}}

\frac{3 ^{4}}{3 ^{20}} = \frac{1}{3 ^{16}}

= \frac{9}{3 ^{16} \cdot 2 7 ^{2}}

Factor the number:

9 = 3^{2}

= \frac{3 ^{2}}{3 ^{16} \cdot 2 7 ^{2}}

\frac{3 ^{2}}{3 ^{16}} = \frac{1}{3 ^{14}}

= \frac{1}{3 ^{14} \cdot 2 7 ^{2}}

3^{14} \cdot 2 7^{2} = 3^{20}

= \frac{1}{3 ^{20}}

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Frequently Asked Questions (FAQ)

What is (9*3^4)/((3^4)^5*27^2) ?
The solution to (9*3^4)/((3^4)^5*27^2) is 1/(3^{20)}