Mathematics: What is the simplest form of 3√27a3b7

What is the simplest form of 3√27a3b7

Ответ:

marinahuntg

12.03.2022

Mathematics

$3ab^2\sqrt[3]{b}$

if the problem was $\sqrt[3]{27a^3b^7}$ .

Step-by-step explanation:

Correct me if I'm wrong by I think you are writing $\sqrt[3]{27a^3b^7}$ .

$\sqrt[3]{27a^3b^7}$

I'm first going to look at this as 3 separate problems and then put it altogether in the end.

Problem 1: $\sqrt[3]{27}=(3)$ since (3)^3=27 .

Problem 2: $\sqrt[3]{a^3}=(a)$ since (a)^3=a^3

Problem 3: $\sqrt[3]{b^7}$ . This problem is a little harder because b^7 is not a perfect cubes like the others were. But b^7 does contain a factor that is a perfect cube. That perfect cube is b^6 so rewrite b^7 as $b^6 \cdot b^1$ or $b^6 \cdot b$ .

So problem 3 becomes $\sqrt[3]{b^6 \cdot b}=\sqrt[3]{b^6}\cdot \sqrt[3]{b}=b^2 \cdot \sqrt[3]{b}$ . The b^2 came from this (b^2)^3=b^6 .

Anyways let's put it altogether:

$3ab^2\sqrt[3]{b}$

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Ответ:

lily2019

03.06.2022

Mathematics

y intercept - (0,1)

x intercept - (-2,0)

Step-by-step explanation:

The intercept is just where the line passes through on the x and/or y axis

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What is the simplest form of 3√27a3b7

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