3 years ago

1. Write your answer using only positive exponents. (3ab^3c^-1)^3

Mathematics

2 answers:

pishuonlain [190]3 years ago

7 0

Maybe it is 27b^9a^3 over c^3

marishachu [46]3 years ago

6 0

Answer:

$(\frac{{3ab^{3}}}{c^{1}} )^{3}$

Step-by-step explanation:

$(3ab^{3} c^{-1} )^{3} =(\frac{{3ab^{3}}}{c^{1}} )^{3}$

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The right rectangular prism is made up of 48 cubes. Each cube has an edge length of inch. What is the volume of this prism?

Gnesinka [82]

Given:

The right rectangular prism is made up of 48 cubes.
Each cube has an edge length of 1/4 inch.

$~$

To Find:

What is the volume of this prism?

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Solution:

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Using formula: 

$~$

$\sf \pmb {Volume \: of \: cube = {(side)}^{3} }$

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Substituting values in the formula:

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$\sf \longrightarrow \dfrac{1}{4} \times \dfrac{1}{4} \times \dfrac{1}{4}$

$\sf \longrightarrow \dfrac{1}{64} \: {inch}^{3}$

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Now,

Volume of 48 such cubes = Volume of 1 cube × 48 cubes

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$\sf \longrightarrow \dfrac{1}{64} \times 48$

$\sf \longrightarrow \dfrac{48}{64}$

$\sf \longrightarrow \dfrac{3}{4} \: {inch}^{3}$

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Hence,

Volume of prism is 3/4 inch^3

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mixas84 [53]

Answer: Yes

Step-by-step explanation:

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Step-by-step explanation:

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