Hello there. To solve this question, we need to remember some properties on powers.
(-25)^(-4) * (5^(-3))^(-2)
To start, remember a^(-n) = 1/a^n, for a not equal to 0. Also, (ab)^n = a^n * b^n and (a^b)^c = a^(b*c)
Such that we have:
(-1)^(-4) * 25^(-4) * 5^((-3)*(-2))
1/(-1)^4 * (5^2)^(-4) * 5^6
Since (-1)^4 is equal to 1, we get:
5^(2*(-4)) * 5^6
5^(-8) * 5^6
Knowing that a^b * a^c = a^(b + c), we get:
5^(-8+6)
5^(-2)
Applying the first rule, we get:
1/5^2
1/25.
C) Always anything more you want to know?
ANSWER: A). Both 1 and 4 are congruent and the rest are <span>incongruous.
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Hope this Helped!!!
Answer: x < -1
Step-by-step explanation:
•Solve:
x + 6 < 5
• Subtract 6 on both sides:
x + 6 < 5
-6 -6
—————-
• Result:
x < -1