Recall the quotient rule of exponents: x^a/x^b = x^(a-b)
So
2^(7/8) / 2^(1/4)
=2^(7/8-1/4)
=2^((7-2)/8)
=2^(5/8)
=8 radical 2^5
=8 radical (32)
Who will be 4.2 inches wide because it off for 20 inch to get to six and you must multiply by .3 so you do .3 to 14 and you get 4.2
Answer:
62 Degrees
Step-by-step explanation:
65 8/10 - 14 7/10 = 51 1/10
51 1/10 + 10 9/10 = 62
<em>R(x)</em> is a polynomial of degree 7, so it has up to 7 distinct complex roots <em>r</em>₁, ..., <em>r</em>₇, and we can write it in terms of these roots as
<em>R(x)</em> = (<em>x</em> - <em>r</em>₁) (<em>x</em> - <em>r</em>₂) ... (<em>x</em> - <em>r</em>₇)
The coefficients of <em>R(x)</em> are all real, so the roots must all be complex numbers, and any of these roots with non-zero imaginary parts must occur along with their complex conjugates. This means if <em>a</em> + <em>b</em> <em>i</em> is a root, then is <em>a</em> - <em>b</em> <em>i</em> is also a root.
(a) We're told that -5 - 3<em>i</em> and 2<em>i</em> are roots to <em>R(x)</em>, so we also know that -5 + 3<em>i</em> and -2<em>i</em> are roots.
There are 4 roots accounted for, leaving us with 3 unknown roots. These roots cannot all be non-real, because we can only count 2 of them as a conjugate pair. So we can have either
(b) at most 3 real roots, or
(c) at most 2 non-real roots and 1 real root.
Answer:
4³ and 4 · 4 · 4
Step-by-step explanation:
4³ is the same as 4 · 4 · 4 (or 4 three times).