Simplify and express the result in power notation with positive

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 Multiple Choice QuestionsShort Answer Type

1.

Find the multiplicative inverse of the following.
(i) 2–4            (ii) 10–5         (iii) 7–2    (iv) 5–3   (v) 10–100

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2.

Simplify and write in exponential form.

(–2)–3 x (–2)–4

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3.

Simplify and write in exponential form.

p3 x p–10

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4.

Simplify and write in exponential form.

32 x 3–5 x 36

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5. Evaluate:

3 to the power of negative 2 end exponent

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6.

Evaluate:

left parenthesis negative 4 right parenthesis to the power of negative 2 end exponent




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7.

Evaluate:

open parentheses 1 half close parentheses to the power of negative 5 end exponent








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8.

Simplify and express the result in power notation with positive exponent.

left parenthesis negative 4 right parenthesis to the power of 5 space divided by space left parenthesis negative 4 right parenthesis to the power of 8

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9.

Simplify and express the result in power notation with positive exponent.

open parentheses 1 over 2 cubed close parentheses squared



open parentheses 1 over 2 cubed close parentheses squared

∵  1 space equals space 1 cubed

∴   1 over 2 cubed equals 1 cubed over 2 cubed equals open parentheses 1 half close parentheses cubed

Now   open parentheses 1 over 2 cubed close parentheses squared equals open square brackets open parentheses 1 half close parentheses cubed close square brackets squared equals open parentheses 1 half close parentheses to the power of 3 cross times 2 end exponent           [Using left parenthesis straight a to the power of straight m right parenthesis to the power of straight n equals straight a to the power of mn]

                   = open parentheses 1 half close parentheses to the power of 6 equals 1 over 2 to the power of 6



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10.

Simplify and express the result in power notation with positive exponent.

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