simplify (10i)^2

Solution

simplify

(10 i)^{2}

- 100

Solution steps

(10 i)^{2}

Apply exponent rule:

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

(10 i)^{2} = 1 0^{2} i^{2}

= 1 0^{2} i^{2}

1 0^{2} = 100

= 100 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 100 (- 1)

Multiply the numbers:

100 (- 1) = - 100

= - 100

- 4 + - 80 - 1 + - 20

\frac{9}{5} \div 3

\frac{x ^{3} + 8 x ^{2} + 17 x + 10}{x ^{2} + 2 x}

22 \times 8

\frac{1}{3} x^{\frac{- 2}{3}}