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Popular >

simplify ((-3)^6)/(9^6)

Solution

simplify

\frac{( - 3 ) ^{6}}{9 ^{6}}

Solution

\frac{1}{729}

+1

Decimal Notation

0.00137 \dots

Solution steps

\frac{( - 3 ) ^{6}}{9 ^{6}}

Apply exponent rule:

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

if

n

is even

(- 3)^{6} = 3^{6}

= \frac{3 ^{6}}{9 ^{6}}

Factor

9^{6} : 3^{12}

= \frac{3 ^{6}}{3 ^{12}}

Apply exponent rule:

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

= \frac{1}{3 ^{12 - 6}}

Subtract the numbers:

12 - 6 = 6

= \frac{1}{3 ^{6}}

3^{6} = 729

= \frac{1}{729}

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Frequently Asked Questions (FAQ)

What is ((-3)^6)/(9^6) ?
The solution to ((-3)^6)/(9^6) is 1/729