Answer:
a. 37
b. 25
c. 226
Step-by-step explanation:
Place value has the same meaning in any other number base that it has in base 10. Using expanded form is one way to do the required base conversion.
a. 122₅ = 1×5² +2×5¹ +2×5⁰
= 25 +10 +2 = 37
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b. 11001₂ = 1×2⁴ +1×2³ +0×2² +0×2¹ +1×2⁰
= 16 +8 + 1 = 25
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c. 16T₁₂ = 1×12² +6×12¹ +10×12⁰
= 144 +72 +10 = 226
Answer:
If there is 5 peices of a report and Gavin has written 2 out of 5 of those pieces, then there is only 3 pieces left. Meaning Oliver and Michael will either split 1.5 a nd 1.5 of the 3 pieces or one will take 2 and the other will take one.
Because there is a square at the bottom of the figure, we can say that the angle is equal to 90 degrees (x+22). Thus, the equation would be
x+22 = 90
x = 68
The value of "x" is then equal to 68
Answer:
Once the rules of exponents are understood, you can begin solving more complicated expressions more easily. Recall that when you take a power to a power, you multiply the exponents, (xa)b= xa·b.
What happens when you raise an entire expression inside parentheses to a power? You can use the techniques you already know to simplify this expression.
(2a)4 = (2a)(2a)(2a)(2a) = (2 • 2 • 2 • 2)(a • a • a • a) = (24)(a4) = 16a4
Notice that the exponent is applied to each factor of 2a. So, we can eliminate the middle steps.
(2a)4 = (24)(a4), applying the 4 to each factor, 2 and a.
= 16a4
The product of two or more numbers raised to a power is equal to the product of each number raised to the same power.
You need to split the shape into two then measure the shapes like trapezoids use a+b/2(h) for the formula
