# 8.7.4. Operations on Integer Powers

Express in the simplest form.

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What is the value of ?

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Express in the simplest form.

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What is the value of ?

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What is the value of ?

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Find the value of for .

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where is the total sum in pounds, is the yearly profit in pounds, and is the number of years. Calculate to the nearest pound if , , and .

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If and , find .

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If and , find .

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If , then .

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What is the value of ?

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Express in the simplest form.

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• C 800
• D
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What is the value of ?

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If , calculate .

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• B 6
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What is the value of ?

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If , then .

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If and , find the value of .

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Express in the simplest form.

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• C 7
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If , then .

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What is the value of ?

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The volume of a sphere is expressed by . Find the radius length of a sphere with a volume of .

• Acm
• Bcm
• Ccm
• Dcm
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. Given that , , and , find .

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If the total surface area of a cube is , find the edge length and the volume of the cube.

• Acm,
• Bcm,
• Ccm,
• Dcm,
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The volume of a circular right cone is expressed by . Find the height of the cone whose volume is and base diameter length is cm using .

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Express in its simplest form.

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Express in its simplest form.

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If and , find the value of .

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• C 7
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The population of a country in millions is expressed by the relation where is the number of years starting from 2015. Calculate the expected population of the country to the nearest million in 2 021 and 2 022.

• A18, 21
• B19, 20
• C18, 20
• D19, 21
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Find the value of for .

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Find the value of for .

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