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Popular >

simplify (2^8i^{19})/((-2i)^{11)}

Solution

simplify

\frac{2 ^{8} i ^{19}}{( - 2 i ) ^{11}}

Solution

- \frac{1}{8}

+1

Decimal

- 0.125

Solution steps

\frac{2 ^{8} i ^{19}}{( - 2 i ) ^{11}}

Apply exponent rule:

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

if

n

is odd

(- 2 i)^{11} = - (2 i)^{11}

= \frac{2 ^{8} i ^{19}}{- ( 2 i ) ^{11}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(2 i)^{11} = 2^{11} i^{11}

= \frac{2 ^{8} i ^{19}}{- 2 ^{11} i ^{11}}

\frac{2 ^{8}}{2 ^{11}} = \frac{1}{2 ^{3}}

= \frac{i ^{19}}{- 2 ^{3} i ^{11}}

Simplify

\frac{i ^{19}}{i ^{11}} : i^{8}

= \frac{i ^{8}}{- 2 ^{3}}

Simplify

\frac{i ^{8}}{- 2 ^{3}} : - \frac{1}{8}

= - \frac{1}{8}

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Frequently Asked Questions (FAQ)

What is (2^8i^{19})/((-2i)^{11)} ?
The solution to (2^8i^{19})/((-2i)^{11)} is -1/8