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Popular >

simplify ((c^5)/(c^9))^3

Solution

simplify

(\frac{c ^{5}}{c ^{9}})^{3}

Solution

\frac{1}{c ^{12}}

Solution steps

(\frac{c ^{5}}{c ^{9}})^{3}

Apply exponent rule:

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

= \frac{( c ^{5} ) ^{3}}{( c ^{9} ) ^{3}}

Simplify

(c^{5})^{3} : c^{15}

= \frac{c ^{15}}{( c ^{9} ) ^{3}}

Simplify

(c^{9})^{3} : c^{27}

= \frac{c ^{15}}{c ^{27}}

Apply exponent rule:

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

\frac{c ^{15}}{c ^{27}} = \frac{1}{c ^{27 - 15}}

= \frac{1}{c ^{27 - 15}}

Subtract the numbers:

27 - 15 = 12

= \frac{1}{c ^{12}}

Popular Examples

2 (x - 1) = 6

0.5x^2+0.625x<= 0.75

0.5 x^{2} + 0.625 x \leq 0.75

simplify ((1+i)/(1-i))^3 simplify

(\frac{1 + i}{1 - i})^{3}

3 x^{2} + 12 x + 18 = 6

factor 3y^2-6y-24 factor

3 y^{2} - 6 y - 24

Frequently Asked Questions (FAQ)

What is ((c^5)/(c^9))^3 ?
The solution to ((c^5)/(c^9))^3 is 1/(c^{12)}