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Popular >

simplify ((3^3)^2)/(3^5)

Solution

simplify

\frac{( 3 ^{3} ) ^{2}}{3 ^{5}}

Solution

3

Solution steps

\frac{( 3 ^{3} ) ^{2}}{3 ^{5}}

(3^{3})^{2} = 729

= \frac{729}{3 ^{5}}

Factor the number:

729 = 3^{6}

= \frac{3 ^{6}}{3 ^{5}}

Apply exponent rule:

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

= 3^{6 - 5}

Subtract the numbers:

6 - 5 = 1

= 3^{1}

Apply exponent rule:

a^{1} = a

= 3

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Frequently Asked Questions (FAQ)

What is ((3^3)^2)/(3^5) ?
The solution to ((3^3)^2)/(3^5) is 3