What is simplify-((-1/2)^3)^2 ?

The solution to simplify-((-1/2)^3)^2 is -1/64

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

simplify

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

- \frac{1}{64}

Decimal Notation

- 0.015625

Solution steps

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

Apply exponent rule:

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

n

is odd

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

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

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

Multiply the numbers:

3 \cdot 2 = 6

= - (\frac{1}{2})^{6}

Apply exponent rule:

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

(\frac{1}{2})^{6} = \frac{1 ^{6}}{2 ^{6}}

= - \frac{1 ^{6}}{2 ^{6}}

1^{6} = 1

= - \frac{1}{2 ^{6}}

2^{6} = 64

= - \frac{1}{64}

\frac{14 m ^{2} - 28 m ^{8} + 7 m}{7 m}

x^{3} + ln (x) + sin (x) - 2

2 x 150 x^{3} y^{3}

70 x^{5} y^{3} - 42 x^{8} y^{2}

32 \cdot 26