Maths

Quiz 3 no wording just answers please
1. Simplify the following expression, and rewrite it in an equivalent form with positive exponents.

(4x^(-5) y^(-4))/(20x^3 y^(-2) )
2. Short Answer: Raise the quantity in parentheses to the indicated exponent, and simplify the resulting expression. Express answers with positive exponents.
((-47x^(-2) y)/(141x^3 y^(-3) ))3

3. Short Answer: Raise the quantity in parentheses to the indicated exponent, and simplify the resulting expression. Express answers with positive exponents.

( (-23x^4 y^0)/(92x^(-2) y^(-3) ) )-3
4. Convert to scientific notation: 0.991
(Points : 3)
9.91 • 10-2
9.91 • 10-1
9.91 • 10-0
9.91 • 101
5. Use scientific notation to multiply the following two numbers. Express the answer using scientific notation; retain all nonzero decimal places.
(8.1 • 108) • (4.2 • 103)
6. Subtract the complex expressions, and simplify.
(4.1 + 6.3i) – (-9.4 + 3.4i)
(Points : 3)
16.4i
10.6
16.4
13.5 + 2.9i

7. Simplify the following product of complex numbers.
(4 – 8i) • (-5 + 2i)
8. Simplify the following quotient of complex numbers into the form a + bi.
(1+8i)/(-6+i)
9. Simplify the following expression; express in terms of i.
√-80
10. Simplify the following expression.
√-17 , √-51

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