Which expression has the greatest value?(options are included in the image)
1 answer:
Answer:
(b) 16^(3/2)
Step-by-step explanation:
Your calculator is a good source of information about the values of numerical expressions.
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Here, all of the expressions have a value of 16 except 16^(3/2). That has the greatest value.
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<em>Additional comment</em>
Assuming you're familiar with powers of 2 and the rules of exponents, you can evaluate these without a calculator:
∛(64²) = ∛(2^6)² = (2^12)^(1/3) = 2^4
16^(3/2) = (2^4)^(3/2) = 2^6 . . . . . has the greatest value
√(16²) = ((2^4)^2)^(1/2) = 2^(4·2/2) = 2^4
∛(8^4) = ((2^3)^4)^(1/3) = 2^(3·4/3) = 2^4
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8= 2^3; 16 = 2^4; 64 = 2^6
(a^b)^c = a^(bc)
A root is equivalent to a fractional power. The cube root is the 1/3 power, for example.
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Step-by-step explanation:
We will use the proper formula to solve for the volume of the sphere.
-> The radius (r) is half the diameter. 18 in / 2 = 9 in
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<u>Answer:</u>
<u>Step-by-step explanation:</u>
We are given that the price of gas started at $2.25 and increased at a rate of 4% per year.
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