Answer:
b Superscript positive
Step-by-step explanation:
Negative exponents in the denominators can be evaluated by moving the function from the denominator to the numerator and changing the power from negative to the positive.
We have
1/b⁻² = b²
Moving the function with a power from denominator to numerator or from numerator to denominator changes the sign of the power. It is not equal to zero.
This is the property of exponents.
Answer:
1800(5/6)^t
Step-by-step explanation:
I don't see any answer choices, but this would be another form if it is listed. The negative exponent means that you get the reciprocal of the fraction (in this case 1.2). This turns 1.2 into (1/1.2), which is equivalent to 5/6.
Answer:
c)
Step-by-step explanation:
Use 49 instead of 14 for 7²
Reason: 7² = 7 * 7 = 49
Not 14 as 7*2 = 14
Answer: D (both the sum and the product).
Step-by-step explanation:
Let's add: 4 + sqrt5 will still seem irrational.
Let's multiply: 4*sqrt5 = 4sqrt5, which is irrational.
Answer:
a. 6
b. 9
Step-by-step explanation:
a. The product modulo 7 can be found from the product of the individual numbers modulo 7:
(88·95·36·702) mod 7 = (88 mod 7)·(95 mod 7)·(36 mod 7)·(703 mod 7) mod 7
= (4·4·1·3) mod 7 = 48 mod 7 = 6
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b. Powers of 4 mod 11 repeat with period 5:
4 mod 11 = 4
4^2 mod 11 = 5
4^3 mod 11 = 9
4^4 mod 11 = 3
4^5 mod 11 = 1
So, 4^83 mod 11 = 4^3 mod 11 = 9
