Back to the on-screen lesson ·
Apply powers across unfamiliar problems: original cases with explanations after your first response.
Paper packet. Every task here also exists on screen, where it is checked automatically; answers written on paper are not assessed by Nydus. When you are back at a device, enter your answers there.
Preserve signs and parentheses while translating decimal notation, roots and exponent rules. Use exact fractions until the requested numerical value is determined.
What is (3 times 10 to the fifth power) divided by (6 times 10 to the second power)?
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A measurement is 0.000072 meters. If it is written as a times 10 to the power -5, what is a?
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What is the positive square root of 0.0081?
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If 2 to the power x equals 32, what is 4 to the power (x-1)?
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What is the value of 27 to the power 2/3?
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An arithmetic sequence has first term -4 and common difference 7. What is its tenth term?
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For positive x, x to the power -2 equals 1/49. What is x?
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What is the distance on the number line between -sqrt(81) and sqrt(16)?
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What is (0.2) cubed divided by (0.1) squared?
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A positive integer n satisfies 3 to the power n less than 200 and 3 to the power (n+1) greater than 200. What is n?
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A geometric sequence has first term 3 and common ratio 2. What is the sum of its first eight terms?
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Check magnitude with a nearby power of ten; a plausible-looking decimal can still be off by several places.