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Popular >

simplify (3^7*3^8)/(3^{19)}

Solution

simplify

\frac{3 ^{7} \cdot 3 ^{8}}{3 ^{19}}

Solution

\frac{1}{81}

+1

Decimal Notation

0.01234 \dots

Solution steps

\frac{3 ^{7} \cdot 3 ^{8}}{3 ^{19}}

\frac{3 ^{7}}{3 ^{19}} = \frac{1}{3 ^{12}}

= \frac{3 ^{8}}{3 ^{12}}

Apply exponent rule:

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

= \frac{1}{3 ^{12 - 8}}

Subtract the numbers:

12 - 8 = 4

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

3^{4} = 81

= \frac{1}{81}

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Frequently Asked Questions (FAQ)

What is (3^7*3^8)/(3^{19)} ?
The solution to (3^7*3^8)/(3^{19)} is 1/81