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simplify using only positive exponents:
(2t)^-6
(2t)^-6
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simplify using only positive exponents:
(w^-2 J^-4)^-3(J^7J^3)
(w^-2 J^-4)^-3(J^7J^3)
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simplify using only positive exponents:
a^2b^-7c^4/a^5b^3C^-2
a^2b^-7c^4/a^5b^3C^-2
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Evaluate the expression for m = 2, t = −3, and z = 0. z−t(mt)z
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Use scientific notation to rewrite the number: a. 0.0002603 in scientific notation
b. 5.38 × 102 in standard notation
b. 5.38 × 102 in standard notation
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The speed of sound is approximately 1.2 × 103 km/h. How long does it take for sound to travel 7.2 × 102 km? Write your answer in minutes.
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Evaluate the function below over the domain {−1, 0, 1, 2}. As the values of the domain increase, do the values of the function increase or decrease?
x
3
y =⎛ ⎞
⎜ ⎟
4
⎝ ⎠
x
3
y =⎛ ⎞
⎜ ⎟
4
⎝ ⎠
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Suppose an investment of $5,000 doubles every 12 years. How much is the investment worth after 36 years? After 48 years?
Write and solve an exponential equation.
Write and solve an exponential equation.
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Does the function represent exponential growth or exponential decay? Identify the growth or decay factor.
y = 9 ∙ (1/2)^x
y = 9 ∙ (1/2)^x
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You deposit $520 in an account with 4% interest compounded monthly. What is the balance in the account after 5 years?
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