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Popular >

simplify (-(3^3)/(3^4))^3

Solution

simplify

(- \frac{3 ^{3}}{3 ^{4}})^{3}

Solution

- \frac{1}{27}

+1

Decimal Notation

- 0.03703 \dots

Solution steps

(- \frac{3 ^{3}}{3 ^{4}})^{3}

Apply exponent rule:

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

if

n

is odd

(- \frac{3 ^{3}}{3 ^{4}})^{3} = - (\frac{3 ^{3}}{3 ^{4}})^{3}

= - (\frac{3 ^{3}}{3 ^{4}})^{3}

Apply exponent rule:

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

(\frac{3 ^{3}}{3 ^{4}})^{3} = \frac{( 3 ^{3} ) ^{3}}{( 3 ^{4} ) ^{3}}

= - \frac{( 3 ^{3} ) ^{3}}{( 3 ^{4} ) ^{3}}

(3^{3})^{3} = 19683

= - \frac{19683}{( 3 ^{4} ) ^{3}}

(3^{4})^{3} = 531441

= - \frac{19683}{531441}

Cancel the common factor:

19683

= - \frac{1}{27}

Popular Examples

x^{2} > 2 (x + 4)

1/3 (15b-12)>= 21

\frac{1}{3} (15 b - 12) \geq 21

∣ 7 - 8 x ∣ > 16

factor 6h^2+5h-6 factor

6 h^{2} + 5 h - 6

x^{2} = 4 x + 21

Frequently Asked Questions (FAQ)

What is (-(3^3)/(3^4))^3 ?
The solution to (-(3^3)/(3^4))^3 is -1/27