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Popular >

simplify (1/5)^2*(-3)^3

Solution

simplify

(\frac{1}{5})^{2} \cdot (- 3)^{3}

Solution

- \frac{27}{25}

+1

Decimal Notation

- 1.08

Solution steps

(\frac{1}{5})^{2} (- 3)^{3}

(\frac{1}{5})^{2} = \frac{1}{25}

= \frac{1}{25} (- 3)^{3}

Apply exponent rule:

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

if

n

is odd

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

= \frac{1}{25} (- 3^{3})

3^{3} = 27

= \frac{1}{25} (- 27)

Apply rule:

a (- b) = - ab

\frac{1}{25} (- 27) = - \frac{1}{25} \cdot 27

= - \frac{1}{25} \cdot 27

- \frac{1}{25} \cdot 27 = - \frac{27}{25}

= - \frac{27}{25}

Popular Examples

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- \frac{1}{3} (- 3)

factor 49n^2+168n+144 factor

49 n^{2} + 168 n + 144

\frac{2 x + 1}{3} = - 3

Frequently Asked Questions (FAQ)

What is (1/5)^2*(-3)^3 ?
The solution to (1/5)^2*(-3)^3 is -27/25