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Salsk061 [2.6K]
3 years ago
13

Simlplify the expression 52^-5 then write it as a repeated multiplication

Mathematics
2 answers:
Soloha48 [4]3 years ago
6 0
Exponent rule : a^-b = 1 / a^b

52^-5 = 
1 / 52^5 =
1 / (52 * 52 * 52 * 52 * 52)
Charra [1.4K]3 years ago
6 0
-52 x -52 x -52 x -52 x -52
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given the roots of a polynomial p(x), say x = a and x = b

then the factors are (x - a)(x - b)

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here x² + 50 = 0 ⇒ x² = - 50 → ( set = 0 for roots)

take the square root of both sides

x = ± √-50 = ±  √(25 × 2 × -1) = √25 × √2 × √-1 = ± 5i√2

The roots are x = ± 5i√2

thus the factors are ( x - ( - 5i√2)) and (x - (+5i√2))

x² + 50 = (x + 5i√2)(x - 5i√2)


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