Exponent rules, scientific notation, slope, linear functions, systems, the Pythagorean theorem, transformations and bivariate data.
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- What rule applies when multiplying powers with the same base?
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Add the exponents
- Simplify: x^3 · x^5
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x^8
- What is the value of x^0 (where x ≠ 0)?
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1
- What rule applies when dividing powers with the same base?
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Subtract the exponents
- Simplify: (x^2)^3
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x^6
- What does a^(-n) equal?
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1/a^n
- When raising a power to a power, what do you do with the exponents?
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Multiply them
- Write 5,200 in scientific notation
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5.2 × 10^3
- Write 0.00034 in scientific notation
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3.4 × 10^(-4)
- In scientific notation, what range must the first factor be in?
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Between 1 and 10 (1 ≤ n < 10)
- Write 2.1 × 10^4 in standard form
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21,000
- Write 7.8 × 10^(-2) in standard form
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0.078
- Is 42 × 10^5 in correct scientific notation? Explain.
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No, because 42 is not between 1 and 10
- What is the formula for slope?
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m = (y2 - y1) / (x2 - x1)
- Find the slope of the line passing through (2, 5) and (4, 9)
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2